Open Science Research Excellence

Zhaohui Wen

Publications

6

Publications

6
1116
Existence of Periodic Solutions in a Food Chain Model with Holling–type II Functional Response
Authors:
Abstract:

In this paper, a food chain model with Holling type II functional response on time scales is investigated. By using the Mawhin-s continuation theorem in coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained.

Keywords:
Periodic solutions, food chain model, coincidence degree, time scales.
5
1424
Global Existence of Periodic Solutions in a Delayed Tri–neuron Network
Abstract:
In this paper, a tri–neuron network model with time delay is investigated. By using the Bendixson-s criterion for high– dimensional ordinary differential equations and global Hopf bifurcation theory for functional differential equations, sufficient conditions for existence of periodic solutions when the time delay is sufficiently large are established.
Keywords:
Delay, global Hopf bifurcation, neural network, periodicsolutions.
4
6326
Periodic Solutions for a Delayed Population Model on Time Scales
Abstract:

This paper deals with a delayed single population model on time scales. With the assistance of coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained. Furthermore, the better estimations for bounds of periodic solutions are established.

Keywords:
Coincidence degree, continuation theorem, periodic solutions, time scales
3
7389
Analysis for a Food Chain Model with Crowley–Martin Functional Response and Time Delay
Abstract:

This paper is concerned with a nonautonomous three species food chain model with Crowley–Martin type functional response and time delay. Using the Mawhin-s continuation theorem in theory of degree, sufficient conditions for existence of periodic solutions are obtained.

Keywords:
Periodic solutions, coincidence degree, food chain model, Crowley–Martin functional response.
2
8300
Dynamical Behaviors in a Discrete Predator-prey Model with a Prey Refuge
Abstract:

By incorporating a prey refuge, this paper proposes new discrete Leslie–Gower predator–prey systems with and without Allee effect. The existence of fixed points are established and the stability of fixed points are discussed by analyzing the modulus of characteristic roots.

Keywords:
Leslie-Gower, predator–prey model, prey refuge, allee effect.
1
11767
Dynamics of a Discrete Three Species Food Chain System
Abstract:

The main purpose of this paper is to investigate a discrete time three–species food chain system with ratio dependence. By employing coincidence degree theory and analysis techniques, sufficient conditions for existence of periodic solutions are established.

Keywords:
Food chain, ratio–dependent, coincidence degree, periodic solutions.