Yun Kang, Associate Professor
Science and Mathematics Faculty
School of Letters and Sciences
Arizona State University
7001 E. Williams Field Road,
Mesa, AZ 85212, USA

Office: Wanner Hall 301G
Phone number: 480-727-5004

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

My greatest achievement in 2008,2013

Yun Kang

Associate Professor in Applied Mathematics
Ph.D., Arizona State University, USA, 2008

Research Interest

    My main areas of study are Dynamical Systems with applications in life and social sciences. My research interests have both theoretical and modeling components. The theoretical component is to study global dynamics of systems that are of interest to biologists, which includes permanence of population models, spatial patterns of invasive species with Allee effects in heterogenous environment, the role of space in the exploitation of resources. The modeling component is to explore different modeling techniques, based on experiments or important hypotheses, to get a better understanding of quantitatively and qualitatively various aspects of biological/social behaviors, structures, and processes.

Research Grant:

    National Science Foundation grant DMS 1313312: Multiscale Modeling of Division of Labor in Social Insects, 09/15/2013-08/31/2016. $289,980

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

  1. Kang Yun and Udiani Oyita*: Dynamics of a single species evolutionary model with Allee e ffects. Accepted in the Journal of Mathematical Analysis and Applications.
  2. 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.
  3. 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). In press.
  4. 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.
  5. Kang Yun and Carlos Castillo-Chavez, 2013. A simple two-patch epidemiological model with Allee effects and disease-modified fitness, The special AMS Contemporary Math Series in honour of Ronald Mickens? 70th birthday. In press.
  6. 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.
  7. Kang Yun, 2013. Scrambe competition can rescue endangered species subject to strong Allee effects, Journal of Mathematical Biosciences, 241(1), 75-87.
  8. 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.
  9. Kang Yun and Carlos Castillo-Chavez, 2012. Multiscale analysis of compartment models with dispersal, Journal of Biological Dynamics, 6(2), 50-79.
  10. 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.
  11. Kang Yun and Nicolas Lanchier, 2012. The role of space in the exploitation of resources, Bulletin of Mathematical Biology, 74, 1-44.
  12. 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.
  13. 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.
  14. Kang Yun and Yakubu Abdul-Aziz, 2011. Weak Allee effects and species coexistence, Nonlinear Analysis: Real World Applications, 12, 3329-3345.
  15. 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.
  16. 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.
  17. 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.
  18. Kang Yun and Chesson Peter, 2010. Relative nonlinearity and permanence. Theoretical Population Biology, 78, 26-35.
  19. 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. Oyita Udiani*, Noa Pinter-Wollman and Yun Kang: Identifying robustness in the regulation of foraging of ant colonies using an interaction based model with backward bifurcation. Preprint, under review.
  2. Yongli Cai*, Yun Kang , Weiming Wang and Min Zhao: A Stochastic Differential Equation SIRS Epidemic Model With Ratio-Dependent Incidence Rate. Preprint, under review.
  3. Kang Yun, Amiya Ranjan Bhowmick*, Sourav Kumar Sasmal* and Joydev Chattopadhyay: Host-Parasitoid systems with predation-driven Allee effects in host population.  Preprint, under review.
  4. Kang Yun and  Chesson Peter: Dynamics of contest competition models subject to strong Allee effects. Preprint, under revision.
  5. Yongli Cai*, Yun Kang, Malay Banerjee and  Weiming Wang: A Stochastic SIRS Epidemic Model With Infection Force Under Intervention Strategies. Preprint, under review.
  6. Yongli Cai*, Malay Banerjee, Yun Kang and  Weiming Wang: Spatiotemporal complexity in a predator{prey model with weak
    Allee eff ects.
    Preprint, under review.

Works in Progress

  1. Can evolutionary suppress or promote Allee effects?
  2. Dynamics of a co-evolutionary prey-predator model with Holling Type II functional response and generalist predation.
  3. A two-stage model of social insects with cannibalism.
  4. Social network properties of harvest ants.
  5. Optimization control of a discrete-time plant-herbivore model with bistability in periodic environments.