Numerical Investigation and Factor Analysis of Two-Species Spatial-Temporal Competition System after Catastrophic Events

Author:

Wang Youwen1,Vasilyeva Maria1,Stepanov Sergei2,Sadovski Alexey1

Affiliation:

1. Department of Mathematics and Statistics, Texas A&M University ­ Corpus Christi, Corpus Christi, Texas, UNITED STATES OF AMERICA

2. Institute of Mathematics and Information Science, North­Eastern Federal University, Yakutsk, Republic of Sakha (Yakutia), RUSSIA

Abstract

The interaction of species in an ecological community can be described by coupled system partial differential equations. To analyze the problem numerically, we construct a discrete system using finite volume approximation by space with semi-implicit time approximation to decouple a system. We first simulate the converges of the system to the final equilibrium state for given parameters (reproductive rate, competition rate, and diffusion rate), boundaries, and initial conditions of population density. Then, we apply catastrophic events on a given geographic position with given catastrophic sizes to calculate the restoration time and final population densities for the system. After that, we investigate the impact of the parameters on the equilibrium population density and restoration time after catastrophe by gradually releasing the hold of different parameters. Finally, we generate data sets by solutions of a two-species competition model with random parameters and perform factor analysis to determine the main factors that affect the restoration time and final population density after catastrophic events.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A New Formulation of the Single Species Feedback Control System;2023 International Conference on Control, Artificial Intelligence, Robotics & Optimization (ICCAIRO);2023-04

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