Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method-Reference-Cited by-同舟云学术

Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method

Published:2020-03-23 Issue: Volume:2020 Page:1-34
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Du Mingjing¹²^ORCID,Ning Pengfei³^ORCID,Wang Yulan¹^ORCID

Affiliation:

1. Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China

2. Institute of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot 010070, China

3. College of Computer and Information, Inner Mongolia Medical University, Hohhot 010110, China

Abstract

Although many kinds of numerical methods have been announced for the predator-prey system, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, in this paper, a new interpolation collocation method is proposed for a class of predator-prey systems with complex dynamics characters. Some complex dynamics characters and pattern formations are shown by using this new approach, and the results have a good agreement with theoretical results. Simulation results show the effectiveness of the method.

Funder

Natural Science Foundation of Inner Mongolia

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2020/5404851.pdf

Reference28 articles.

1. Further Studies of Interaction between Predators and Prey

2. Effect of resource subsidies on predator–prey population dynamics: a mathematical model

3. Role of seasonality on predator–prey–subsidy population dynamics

4. Continuous dispersal in a model of predator–prey-subsidy population dynamics