Dr. Yun Kang, Professor
Science and Mathematics Faculty
College of Integrative Sciences and Arts
7001 E. Williams Field Road,
Mesa, AZ 85212, USA
Office at Poly: Wanner Hall 301G
Phone number at Poly: 480-727-5004

Email: yun.kang@asu.edu

Area of Research: Dynamical system
theory and Mathematical biology
Curriculum Vitae

My greatest achievement in 2008, 2013, 2020



The Disney World Trip (2016-July) with Biological and Academic Kids



Peer-Reviewed Publications: underline means the corresponding author, * means graduate students, and ** means undergraduate students.

  1. Tao Feng*, Zhipeng Qiu, and Yun Kang, 2021. Foraging and recruitment dynamics of social insect colonies. Accepted in SIAM Journal on Applied Mathematics.
  2. Ozgur Aydogmus and Yun Kang, 2021. Analysis of stationary patterns arising from a time-discrete metapopulation model with nonlocal competition. Accepted in Discrete and Continuous Dynamical Systems-B.
  3. Angela Peace,Yun Kang, and many others, 2021. Stoichiometric ecotoxicology for a multisubstance world. BioScience, 71(2), Pages 132-147, https://doi.org/10.1093/biosci/biaa160
  4. Tao Feng*, Dan Charbonneau, Zhipeng Qiu, and Yun Kang, 2021. Dynamics of task allocation in social insect colonies: Scaling effects of colony size versus work activities. Journal of Mathematical Biology. In press.
  5. Congbo Xie, Meng Fan, and Yun Kang, 2021. Population dynamics of the giant Jellyfish Nemopilema nomurai with age structure. Ecological Modelling, 441, 109412.
  6. Komi Messan, Marisabel Rodriguez Messan, Jun Chen*, Gloria DeGrandi-Hoffman, and Yun Kang, 2021. Population dynamics of Varroa mite and honeybee: E ects of parasitism with age structure and seasonality. Ecological Modeling, 440, 109359.
  7. Pankaj Tiwarii, Yun Kang, and Samares Pal, 2021. A nonautonomous model for the interactive effects of fear, refuge and additional food in a prey-predator system. Journal of Biological Systems, 1-39.
  8. Dingyong Bai, Yun Kang, Shigui Ruan, and LishaWangs, 2021. Dynamics of an Intraguild Predation (IGP) food web model with strong Allee effect in the basal prey, Nonlinear Analysis: Real World Applications, 58, 103206.
  9. Akhil Kumar Srivastav,* iPankaj Kumar Tiwari, Prashant K Srivastava, Mini Ghosh, and Yun Kang, 2021. A mathematical model for the impacts of face mask, hospitalization and quarantine on the dynamics of COVID-19 in India: deterministic vs. stochastic. Mathematical Biosciences and Engineering, 18(1), 182-213.
  10. Lei Zhang, Maoxing Liu, Qiang Hou, Asma Azizis, and Yun Kang, 2021. Dynamics of an SIS model on network with a periodic infection. Applied Mathematical Modelling, 89, 907-918.
  11. Pankaj Tiwari, Rajesh Singh, Subhas Khajanchi, Yun Kang and Arvind Misra, 2021. A mathematical model to restore water quality in urban lakes using Phoslock, Discrete and Continuous Dynamical Systems-B, 26 (6), 3143. doi: 10.3934/dcdsb.2020223
  12. Gloria DeGrandi-Hoffman, Vanessa Corby-Harris, Yanping Chen, Henry Graham, Mona Cham- bers, Emily Watkins deJong, Nicholas Ziolkowski, Yun Kang, Stephanie Gage, Megan Deeter, Michael Simone-Finstrom, and Lilia de Guzman, 2020. Can supplementary pollen feeding reduce varroa mite and virus levels and improve honey bee colony survival? Experimental and Applied Acarology, 82(4), 455-473.
  13. Rajanish Kumar Raii, Pankaj Kumar Tiwarii, Yun Kang, and Arvind Kumar Misra, 2020. Modeling the effect of literacy and social media advertisements on the dynamics of infectious diseases, Mathematical Biosciences and Engineering, 17(5), 5812-5848
  14. Jai Prakash Tripathii, Sarita Bugalia, Vandana Tiwari, and Yun Kang, 2020. A predator-prey model with a Crowley-Martin functional response: a non-autonomous study. Natural Resource Modeling, 33(4), e12287
  15. Feng Rao, Junling Luo, Zhongliang Zhang, and Yun Kang, 2020. Spatiotemporal dynamics of a predation system with time delay and spatial diffusion. Journal of Statistical Mechanics: Theory and Experiment, 10, 103501.
  16. Yongli Cai, Jiaxu Li, Yun Kang, Kai Wang, and Weiming Wang, 2020. The fluctuation impact of human mobility on the influenza transmission. Journal of the Franklin Institute. 357(13), 8899-8924
  17. Feng Rao, Marisabel Rodriguez Messan, Angelica Marquez**, Nathan Smith*, and Yun Kang, 2020. Nutritional regulation influencing colony dynamics and task allocation in social insect colonies, Journal of Biological Dynamics. https://doi.org/10.1080/17513758.2020.1786859
  18. Jun Chen*, Komi Messan, Marisabel Rodriguez Messan, Gloria DeGrandi-Hoffman, Dingyong Bai, and Yun Kang, 2020. How to model honeybee population dynamics: stage structure and seasonality. Mathematics in Applied Sciences and Engineering, Online First, pp.1-34. http://www.uwo.ca/lib/mase
  19. Anupam Khatua, Tapan Kumar Kar, Swapan Kumar Nandi, Soovoojeet Jana, and Yun Kang, 2020. Impact of human mobility on the transmission dynamics of infectious diseases. Energy, Ecology and Environment. https://doi.org/10.1007/s40974-020-00164-4
  20. Guo Xiaohui*, Jun Chen*, Jennifer Fewell, and Yun Kang, 2020. Dynamics of social interactions, in the flow of information and disease spreading in social insects colonies: Effects of environmental events and spatial heterogeneity. Journal of Theoretical Biology, 492, 110191.
  21. Dingyong Bai, Wenrui Zeng, Jiachun Wu, and Yun Kang, 2020. Dynamics of a non- autonomous biocontrol model on native consumer, biocontrol agent and their predator. Nonlinear Analysis: Real World Applications, 55, 103-136.
  22. Arvind Kumar Misra, Rajesh Kumar Singh, Pankaj Kumar Tiwari, Subhas Khajanchi, and Yun Kang, 2020. Dynamics of algae blooming: effects of budget allocation and time delay. Nonlinear Dynamics, 100, pages1779-1807.
  23. Dingyong Bai, Meng Fan, Jianshe Yu, and Yun Kang, 2020. Dynamics for a non-autonomous predator-prey system with generalist predator. Journal of Mathematical Analysis and Applications, 485(2), 123820. doi.org/10.1016/j.jmaa.2019.123820
  24. Yufang Wang, Kai Xu, Yun Kang, Haiyan Wang, Feng Wang, and Adrian Avram, 2020. Regional influenza prediction with sampling twitter data and PDE model. International journal of environmental research and public health, 17 (3), 678. doi.org/10.3390/ijerph17030678
  25. A. Azizis, C. Montalvo*, B. Espinoza, Yun Kang, and C. Castillo-Chavez, 2020. Epidemics on networks: Reducing disease transmission using health emergency declarations and peer communication. Infectious Disease Modelling, 5, 12-22.
  26. Saswati Biswas*, iPankaj Kumar Tiwari, Saswati Biswas*, Yun Kang, and Samares Pal, 2020. Effects of zooplankton selectivity on phytoplankton in an ecosystem affected by free-viruses and environmental toxins. Mathematical Biosciences and Engineering, 17(2): 1272-1317. doi: 10.3934/mbe.2020065
  27. Dingyong Bai, Jianshe Yu, and Yun Kang, 2019. Spatiotemporal dynamics of a di usive predator-prey model with generalist predator. Discrete and Continuous Dynamical Systems-S. doi: 10.3934/dcdss.2020132
  28. Yufang Wang, X. Wang, S. Chang, and Yun Kang, 2019. Product innovation and process innovation in a dynamic Stackelberg game. Computers and Industrial Engineering, 130, 395- 403.
  29. Feng Rao, Partha S Mandal, and Yun Kang, 2019. Complicated endemics of an SIR model with a generalized incidence under preventive vaccination and treatment controls. Applied Mathematical Modelling, 67, 38-61.
  30. Marisabel Rodriguez*, Robert E. Page Jr., and Yun Kang, 2018. Population and vitellogenin dynamics of a honeybee colony in uencing division of labor. Ecological Modeling, 388, 88-107.
  31. Feng Rao, Carlos Castillo-Chavez, and Yun Kang, 2018. Dynamics of a stochastic delayed Harrison-type predation model: Effects of delay and stochastic components. Mathematical Biosciences and Engineering, 15(6), 1401-1423.
  32. Marisabel Rodriguez*, Darin Kopp*, Daniel Allen, and Yun Kang, 2018. Dynamical implications of bi-directional resources exchange within a meta-ecosystem. Mathematical Biosciences, 301, 167-184.
  33. Marisabel Rodriguez*, Nathan Smith*, Tin Phan**, Jonathan Woodbury**, and Yun Kang, 2018. Interactions between leaf-cutter ants and fungus garden: Effects of division of labor, age polyethism, and egg cannibalism. Mathematical Modelling of Natural Phenomena, 13(3), article number 30, 32 pages.
  34. Sherry Towers , Jun Chen*, Carlos Cruz*, Juan Melendez-Alvarez*, Jennifer Rodriguez*, Armando Salinas*, Fan Yu*, and Yun Kang, 2018. Quantifying the relative effects of environmental and direct transmission of norovirus. R. Soc. open sci. 5: 170602. http://dx.doi.org/10.1098/rsos.170602
  35. Rao Feng, Carlos Castillo-Chavez, and Yun Kang,2018. Dynamics of a diffusion reaction Prey-Predator model with delay in prey: Effects of delay and spatial components. Journal of Mathematical Analysis and Applications, 461 (2), 1177-1214.
  36. Cai Yongli, Yun Kang, Malay Banerjee, and Weiming Wang, 2017. Complex Dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment. Nonlinear Analysis: Real World Applications, 40, 444-465.
  37. Kang Yun, Dingyong Bai, Lorenzo Tapia*, and Heather Bateman, 2017. Dynamical effects of biocontrol on the ecosystem: Benefits or Harm? Journal of Applied Mathematical Modeling, 51, 361-385.
  38. Ozgur Aydogmus, Yun Kang, Musa Kavgaci, and Huseyin Bereketoglu, 2017. Dynamical effects of nonlocal interactions in discrete-time analogs of nonlocal Fisher equation. Journal of Ecological Complexity, 31, 88-95.
  39. Riley Burnette*, H.L. Bateman, and Yun Kang, 2017. Seasonality and land cover type drive aphid dynamics in an arid city. The Journal of Arid Environment, 144, 12-20.

  40. Komi Messan*, Gloria DeGrandi-Hoffman, Carlos Castillo-Chavez and Yun Kang, 2017. Migration effects on population dynamics of the honeybee-mite interactions. The special thematic issue on " Eco-Epidemiology`` for The Journal of Mathematical Modeling of Natural Phenomena, 12 (2), 84-115.
  41. Yongli Cai*, Yun Kang, and Weiming Wang, 2017. A stochastic SIRS epidemic model with nonlinear incidence rate. Applied Mathematics and Computation, 305, 221–240. http://dx.doi.org/10.1016/j.amc.2017.02.003
  42. Ozgur Aydogmus, Wen Zhou, and Yun Kang, 2017. Evolution cooperation of two-strategy games with non-local interactions. Mathematical Biosciences, 285, 25-42. DOI: http://dx.doi.org/10.1016/j.mbs.2016.12.001
  43. Kang Yun, Sourav Kumar Sasmal*, and Komi Messan*, 2017. A prey-predator model with dispersal in predator driven by the strength of predation. Mathematical Biosciences and Engineering, 14(4), 843-880. DOI: http://dx.doi.org/10.1016/j.mbs.2016.12.001
  44. Yongli Cai, Yun Kang, and Weiming Wang, 2017. Global threshold dynamics of a reaction-diffusion epidemic model incorporating intervention strategies. The special issue on Current Topics in Mathematical Biology of Mathematical Biosciences and Engineering, 14, 1071-1089.
  45. Komi Messan* and Yun Kang, 2017. A two patch prey-predator model with multiple foraging strategies in predators. Journal of Discrete and Continuous Dynamical Systems-B, 22(3), 947-976. DOI:10.3934/dcdsb.2017048.
  46. Marisabel Rodriguez* and Yun Kang, 2016. Colony and evolutionary dynamics of a two-stage model with brood cannibalism and division of labor in social insects. Natural Resource Modeling, 29(4), 633-662.
  47. Rao Feng and Yun Kang, 2016. The complex dynamics of a diffusive prey-predator model with an Allee effect in prey. Ecological Complexity, 28, 123-144.
  48. Martin Helmkampf, Sasha Mikheyev, Yun Kang, Jennifer Fewell and Jurgen Gadau, 2016. Gene expression and variation in social aggression in the harvester ant Pogonomyrmex californicus. Molecular Ecology, 25(15), 3716-3730.. DOI: 10.1111/mec.13700
  49. Kang Yun and Guy Theraulaz, 2016. Dynamical models of task organization in social insect colonies. Bulletin of Mathematical Biology, 87 (5), 879-915. Available as arXiv:1405417
  50. Kang Yun, Krystal Blanco*, Talia Davies**, Ying Wang and Gloria DeGrandi-Hoffman, 2016. Disease dynamics of Honeybees with Varroa destructor as parasite and virus vector. Journal of Mathematical Biosciences, 275, 71-92.

  51. Dongyu Lv, Meng Fan, Yun Kang and Krystal Blanco*, 2016. Modeling Refuge Effect of Submerged Macrophytes in Lake System.  Bulletin of Mathematical Biology, 78(4), 662-694.
  52. Kang Yun, 2016. Dynamics of a generalized Ricker-Beverton-Holt competition model subject to strong Allee effects. Journal of Difference Equations and Applications, 22(5), 687-723. DOI:10.1080/10236198.2015.1135910.
  53. Derdei Bichara, Yun Kang, Carlos Castillo-Chavez, Richard Horan, and Charles Perrings, 2015. SIS and SIR epidemic models under virtual dispersal. Bulletin of Mathematical Biology, 77, 2004-2034.
  54. Kang Yun, and Jennifer Fewell, 2015. Coevolutionary dynamics of a host-parasite interaction model: obligatory v.s. facultative parasitism. Natural Resource Modeling, 28(4), 398-455.
  55. Cai Yongli, Yun Kang, Malay Banerjee, and Weiming Wang:, 2015. A Stochastic SIRS Epidemic Model With Infection Force Under Intervention Strategies. Journal of Differential Equations, 259, 7463-7502.
  56. Sourav Kumar Sasmal*, Yun Kang, and Joydev Chattopadhyay, 2015. Intra-specific competition in predator can promote the coexistence of an eco-epidemiological model with strong Allee effects in prey. Journal of BioSystems, 137, 34-44. doi: 10.1016/j.biosystems.2015.09.003.

  57. Kang Yun, Marisabel Rodriguez* and Stephen Evilsizor*, 2015. Ecological and evolutionary dynamics of a two-stage social insect model with egg cannibalism. Journal of Mathematical Analysis and Applications, 430 (1), 324-353 doi:10.1016/j.jmaa.2015.04.079
  58. Margaret-Rose Leung**, Dustin Padilla*, Baojun Song, Yun Kang, Noah Shemer**, and Juan Vinagera**, 2015. A Symmetric Intraguild Predation Model for the Invasive Lionfish and Native Grouper. Communications in Mathematical Biology and Nerosciences. 2015:24.
  59. Yongli Cai*, Yun Kang, Malay Banerjee and  Weiming Wang, 2015. A Stochastic Epidemic Model Incorporating Media Coverage. Communications in Mathematics and Sciences, 13(9).
  60. Peng Feng and Yun Kang, 2015. Dynamics of a modified Leslie-Gower model with double Allee effects. Nonlinear Dynamics, 80, 1051-1062.
  61. Udiani* Oyita, Noa Pinter-Wollman and Yun Kang, 2015. Identifying robustness in the regulation of foraging of ant colonies using an interaction based model with backward bifurcation. Journal of Theoretical Biology, 365, 61-75.
  62. Kang Yun, Amiya Ranjan Bhowmick*, Sourav Kumar Sasmal* and Joydev Chattopadhyay, 2014: Host-Parasitoid systems with predation-driven Allee effects in host population.  Journal of Biological Dynamics. [Epub ahead of print].
  63. Yongli Cai*, Malay Banerjee, Yun Kang and  Weiming Wang, 2014. Spatiotemporal complexity in a predator-prey model with weak Allee effects.  Mathematical Biosciences and Engineering, 11(6), 1247-1274.
  64. Kang Yun and Udiani Oyita*, 2014. Dynamics of a single species evolutionary model with Allee effects.  Journal of Mathematical Analysis and Applications, 418 (1),  492-515.
  65. Kang Yun and Carlos Castillo-Chavez, 2014. Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects. Journal of Mathematical Biosciences, 248, 97-116.
  66. Kang Yun and Carlos Castillo-Chavez, 2014. A simple epidemiological model for populations in the wild with Allee effects and disease-modifed fitness, Discrete and Continuous Dynamical Systems - Series B, 19 (1), 89-130.
  67. Kang Yun, Sourav Kumar Sasmal*, Amiya Ranjan Bhowmick* and Professor Joydev Chattopadhyay, 2014. Dynamics of a predator-prey system with prey subject to Allee effects and disease, Journal of Mathematical Biosciences and Engineering, 11(4), 877-918.
  68. Kang Yun and Carlos Castillo-Chavez, 2013. A simple two-patch epidemiological model with Allee effects and disease-modified fitness, 2014. Mathematics of Continuous and Discrete Dynamical Systems, edit by Abba B. Gumel in Contemporary Mathematics, 618.
  69. Kang Yun, 2013. Permanence of a general discrete-time two-species interaction model with nonlinear per-capita growth rates, Discrete and Continuous Dynamical Systems - Series B, 18(8), 2123-2142.
  70. Kang Yun, 2013. Scrambe competition can rescue endangered species subject to strong Allee effects, Journal of Mathematical Biosciences, 241(1), 75-87.
  71. Kang Yun and Lauren Wedekin*, 2013. Dynamics of a intraguild predation model with generalist or specialist predator, Journal of Mathematical Biology, 67(5), 1227-1259.
  72. Kang Yun and Carlos Castillo-Chavez, 2012. Multiscale analysis of compartment models with dispersal, Journal of Biological Dynamics, 6(2), 50-79.
  73. Kang Yun and Hal Smith, 2012. Global dynamics of a discrete-time two-species Lottery-Ricker competition model, Journal of Biological Dynamics, 6(2), 358-376.
  74. Kang Yun and Nicolas Lanchier, 2012. The role of space in the exploitation of resources, Bulletin of Mathematical Biology, 74, 1-44.
  75. Kang Yun, 2012. Pre-images of invariant sets of a discrete-time two species competition model, Journal of Difference Equations and Applications, 18(10), 1709-1733.
  76. Kang Yun, Clark Rebecca* , Michael Makiyama** and Fewell Jennifer 2011. Mathematical modeling on obligate mutualism: leaf-cutter ants and fungus growth during early colony expansion, Journal of Theoretical Biology, 289, 116-127.
  77. Kang Yun and Yakubu Abdul-Aziz, 2011. Weak Allee effects and species coexistence, Nonlinear Analysis: Real World Applications, 12, 3329-3345.
  78. Kang Yun and Armbruster Dieter, 2011. Noise and seasonal effects on the dynamics of plant-herbivore models with monotone plant growth functions, International Journal of Biomathematics, 4, 1-20.
  79. Kang Yun and Nicolas Lanchier, 2011. Expansion or extinction: deterministic and stochastic two-patch models with Allee effects, Journal of Mathematical Biology, 62, 925-73.
  80. Kang Yun and Armbruster Dieter, 2011. Dispersal effects on a two-patch discrete model for plant-herbivore interactions, Journal of Theoretical Biology, 268, 84-97.
  81. Kang Yun and Chesson Peter, 2010. Relative nonlinearity and permanence. Theoretical Population Biology, 78, 26-35.
  82. Kang Yun, Armbruster Dieter and Kuang Yang, 2008. Dynamics of a plant-herbivore model, Journal of Biological Dynamics, 2(2), 89-101.

Recent Submissions and Preprints

  1. Sunmi Lee, Minseok Kim and Yun Kang: Optimal control of a discrete-time plant-herbivore model in fluctuated environments. Preprint.
  2. Jun Chen*, Guo Xiaohui*, Soodeh Azizs, and Yun Kang: Dynamics of social interactions and task switches in social insect colonies with spatial heterogeneity. Preprint.
  3. Armando Salinas*, Benjamin Pyenson*, Juergen Liebig and Yun Kang: Hierarchy establishment from nonlinear social interactions and metabolic costs: an Application to the Harpegnathos saltator. Preprint
  4. Pankaj Kumar Tiwari, Rajesh Kumar Singh, Debaldev Jana, Yun Kang, and Arvind Kumar Misra: Modeling the impact of Algae on the abatement of atmospheric carbon dioxide. Under Review.
  5. Lisha Wang*,Tao Feng*, Zhipeng Qiu, and Yun Kang: An eco-epidemiological model with social predation subject to a component Allee effect. Under Review.
  6. Ying Wang, Osman Kaftanoglu, Yun Kang, Laura Creb**, Gro Amdam, Robert E. Page, Jr.: TA/TYR1 plays a central role in honey bee (Apis mellifera) reproductive physiology and social behavior. Submitted to Journal of Experimental Biology. Under Review.
  7. Marisabel Rodriguez*, Stephen Evilsizor, Feng Rao, Hal Smith and Yun Kang: Dynamics of a delayed two-stage model of social insects with egg cannibalism. Preprint .
  8. Armando Salinas*, Benjamin Pyenson*, Juergen Liebig and Yun Kang: Hierarchy establishment from nonlinear social interactions and metabolic costs: an Application to the Harpegnathos saltator. Preprint .
  9. Oyita Udiani*, Yun Kang, and Jennifer Fewell: Group size enhances division of labor but not productivity in forced associations of ant queens. Preprint .