Kaihua Wang

Dynamics and simulations of multi-species competition-predator system with impulsive

We investigate the dynamics of a class of multi-species competition predator interaction models with Beddington-DeAngelis functional response. Sufficient conditions for existence of a positive periodic solution are given and sufficient criteria are established for the global stability and the globally exponential stability of the system by using the comparison principle and the Lyapunov method. In addition, some numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and strange chaotic strange attractor.

Existence and simulations of periodic solution for impulsive predator-prey system with stage structure for the predator

The principle aim of this paper is to explore the existence of periodic solution of a predator-prey model with stage structure for the predator and impulsive perturbations. Sufficient and realistic conditions are obtained by using Mawhins continuation theorem of the coincidence degree. Further, some numerical simulations show that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.

Dynamics and Simulations of Impulsive Semi-Ratio-Dependent Predator-Prey System with Functional Responses

In this paper, impulsive multi-species semi-ratio-dependent predator-prey system with functional responses is investigated. Sufficient conditions for existence of a positive periodic solution can be obtained by using a continuation theorem in coincidence degree theory. Some numerical simulations show that our system can occur many forms of complexities including chaotic strange attractor and periodic solution. Sufficient criteria are established for the global stability of the system by using the comparison principle and the Lyapunov method.

The Existence and Simulations of Periodic Solutions of a Leslie-Gower Predator-Prey Model with Impulsive Perturbations

In this paper, we investigate the predator-prey system governed by impulsive differential equation with Leslie functional response. Sufficient conditions are obtained for the existence of periodic solutions. The main approach is based on Mawhin’s continuation theorem of the coincidence degree. Further, some numerical simulations demonstrate that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.

The Existence and Simulations of Periodic Solution of a Two-Species Cooperative System with Impulsive Perturbations

A two-species non-autonomous system is considered. The system models two population dispersal between two patches in a heterogeneous environment. Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions of two-species cooperative system governed by impulsive differential equations. Further, numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and strange chaotic strange attractor.

Existence and Simulations of an Impulsive Appropriate Pest Management SI Model with Biological and Chemical Control

Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions of predator-prey models and impulsive perturbations. It is more appropriate to add the density-dependent term to these models in this paper. Further, computer simulation shows that our models can occur in many forms of complexities including periodic oscillation and gui chaotic strange attractor.

Existence and Simulations of Periodic Solution of a Predator-Prey System with Holling-Type Response and Impulsive Effects

The principle aim of this paper is to explore the existence of periodic solution of a predator-prey model with functional response and impulsive perturbations. Sufficient and realistic conditions are obtained by using Mawhin’s continuation theorem of the coincidence degree. Further, some numerical simulations show that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.