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.

Peer-Reviewed Publications

1. Kang Yun and Nicolas Lanchier, 2012. The role of space in the exploitation of resources, Bulletin of Mathematical Biology, 74, 1-44.
2. Kang Yun, 2011. Pre-images of invariant sets of a discrete-time two species competition model, Journal of Difference Equations and Applications, [Epub ahead of print]. DOI:10.1080/10236198.2011.591390.
3. Kang Yun and Smith Hal, 2011. Global dynamics of a discrete-time two-species Lottery-Ricker competition model, Journal of Biological Dynamics,[Epub ahead of print]. DOI:10.1080/17513758.2011.586064.
4. 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.
5. Kang Yun and Yakubu Abdul-Aziz, 2011. Weak Allee effects and species coexistence, Nonlinear Analysis: Real World Applications, 12, 3329-3345.
6. 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. DOI: 10.1142/S1793524511001234.
7. 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.
8. 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.
9. Kang Yun and Chesson Peter, 2010:Relative nonlinearity and permanence. Theoretical Population Biology, 78, 26-35.
10. Kang, Yun, Armbruster, Dieter and Kuang, Yang, 2008. Dynamics of a plant-herbivore model, Journal of Biological Dynamics, 2, 89-101.

Recent Submissions

1. Kang Yun: Permanence of a general discrete-time two-species interaction model with nonlinear per-capita growth rates Preprint.
2. Kang Yun: Competition can rescue endangered species subject to strong Allee effects. Preprint.
3. Kang Yun and Carlos Castillo-Chavez: A simple epidemiological model for populations in the wild with Allee effects and disease-modifed fitness. Preprint.
4. Kang Yun and Carlos Castillo-Chavez: Multiscale analysis of compartment models with dispersal. Preprint.
5. Kang Yun and Lauren Wedekin: Dynamics of a intraguild predation model with generalist or specialist predator. Preprint.
6. Kang Yun , Amiya Ranjan Bhowmick, Sourav Kumar Sasmal and Joydev Chattopadhyay: Host-Parasitoid systems with predation-driven Allee effects in host population. Preprint.

Works in Progress

1. Kang Yun and Elaydi Saber: Allee effects in two species interaction models.
2. Kang Yun and Carlos Castillo-Chavez: Dispersal effects of a two-patch SI model with Allee effects and the fitness of diseases.
3. Kang Yun: Relative Permanence of Ecological Models.
4. Kang Yun: Pattern formation of a plant-herbivore interaction model with ``stratified dispersal''.
5. Kang Yun, Stutz Jean, Kuang Yang and Martin Chris: Stoicheometric modeling on growth and seed production of plant and AM-fungi interactions.
6. Kang Yun and Wedekin Lauren: Hybrid system for Intraguild predation.
7. Kang Yun and Roeger Wu L.-I.: Discrete food-chain models.