On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay

Authors:
Fengde Chen
Affiliations:
School of Mathematics and Computer, Fuzhou University Fuzhou Fujian 350002, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 4
Cited 7

Existence of positive periodic solution for nonautonomous predator: prey system with diffusion and time delay

Journal of Computational and Applied Mathematics
Mathematical Models in Biology

Mathematical Models in Biology
Periodicity in a logistic type system with several delays

Computers & Mathematics with Applications
Hopf bifurcation in Marchuk's model of immune reactions

Mathematical and Computer Modelling: An International Journal

Permanence and extinction of periodic predator-prey systems in a patchy environment with delay

Nonlinear Analysis: Real World Applications
Existence, uniqueness and stability of positive periodic solution for a nonlinear prey-competition model with delays

Journal of Computational and Applied Mathematics
Permanence and global attractivity of a delayed periodic logistic equation

Applied Mathematics and Computation
Permanence and extinction in nonlinear single and multiple species system with diffusion

Applied Mathematics and Computation
Permanence and global attractivity of the discrete Gilpin-Ayala type population model

Computers & Mathematics with Applications
Dynamic behaviors of a delay differential equation model of plankton allelopathy

Journal of Computational and Applied Mathematics
Dynamic behaviors of the impulsive periodic multi-species predator-prey system

Computers & Mathematics with Applications

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this paper, a nonlinear nonautonomous predator-prey model with diffusion and continuous distributed delay is studied, where all the parameters are time-dependent. The system, which is composed of two patches, has two species: the prey can diffuse between two patches, but the predator is confined to one patch. We first discuss the uniform persistence and global asymptotic stability of the model; after that, by constructing a suitable Lyapunov functional, some sufficient conditions for the existence of a unique almost periodic solution of the system are obtained. An example shows the feasibility of our main results.