45 citations · 90 across the 21 of their papers we have counts for
4 papers · 2 filters
Permanence of a general discrete-time two-species-interaction model with non-monotonic per capita growth rates
Yun Kang
Combined with all density-dependent factors, the per capita growth rate of a species may be non-monotonic. One important consequence is that species may suffer from weak Allee effe…
Mathematical Modeling on Obligate Mutualism: Interactions between leaf-cutter ants and their fungus garden
Yun Kang, Michael Makiyama, Rebecca Clark +1
We propose a simple mathematical model by applying Michaelis-Menton equations of enzyme kinetics to study the mutualistic interaction between the leaf cutter ant and its fungus gar…
Global Dynamics of a Discrete Two-species Lottery-Ricker Competition Model
Yun Kang, Hal Smith
In this article, we study the global dynamics of a discrete two dimensional competition model. We give sufficient conditions on the persistence of one species and the existence of…
Noise and seasonal effects on the dynamics of plant-herbivore models with monotonic plant growth functions
Yun Kang, Dieter Armbruster
We formulate general plant-herbivore interaction models with monotone plant growth functions (rates). We study the impact of monotone plant growth functions in general plant-herbiv…