• Publications
  • Influence
Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
We study a predator–prey model with Holling type II functional response incorporating a prey refuge under homogeneous Neumann boundary condition. We show the existence and non-existence ofExpand
  • 161
  • 3
  • PDF
A qualitative study on general Gause-type predator–prey models with constant diffusion rates
Abstract In this paper, we study the qualitative behavior of non-constant positive solutions on a general Gause-type predator–prey model with constant diffusion rates under homogeneous NeumannExpand
  • 26
  • 3
  • PDF
Non-constant positive steady-states of a diffusive predator–prey system in homogeneous environment
Abstract In this paper, we investigate the existence and non-existence of non-constant positive steady-states of a diffusive predator–prey interaction system under homogeneous Neumann boundaryExpand
  • 29
  • 2
  • PDF
A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: I, long time behavior and stability of equilibria
Abstract We study a ratio-dependent reaction–diffusion system incorporating one prey and two competing predator species under homogeneous Neumann boundary conditions. In this paper, we examine theExpand
  • 14
  • 1
A qualitative study on general Gause-type predator–prey models with non-monotonic functional response
Abstract In this paper, we study a diffusive predator–prey model with general growth rates and non-monotonic functional response under homogeneous Neumann boundary condition. A local existence ofExpand
  • 21
  • 1
Coexistence states of a nonlinear Lotka–Volterra type predator–prey model with cross-diffusion
Abstract In this paper, a Lotka–Volterra type predator–prey elliptic system with nonlinear cross-diffusion is considered, representing the tendency of predators to get closer to prey under RobinExpand
  • 12
  • 1
A diffusive one-prey and two-competing-predator system with a ratio-dependent functional response: II stationary pattern formation
Abstract This paper is a continuation of Ko and Ahn (2013) [1] , which investigates the stability at all non-negative equilibria and long time behavior of solutions for a ratio-dependentExpand
  • 10
  • 1
Coexistence states of a predator-prey system with non-monotonic functional response
Abstract In this paper, we investigate sufficient and necessary conditions for coexistence states of a predator–prey interaction system between two species with non-monotonic functional responseExpand
  • 26
  • 1
Dynamics of a simple food chain model with a ratio-dependent functional response
Abstract This paper considers a diffusive ratio-dependent simple food chain model. The sufficient conditions for the existence and non-existence of coexistence states are provided. In addition, thisExpand
  • 12
Analysis of ratio-dependent food chain model
Abstract In this paper, a food chain model with ratio-dependent functional response is studied under homogeneous Neumann boundary conditions. The large time behavior of all non-negative equilibria inExpand
  • 32
  • PDF
...
1
2
3
...