LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS

Authors

  • Guangchong Yang College of Applied Mathematics Chengdu University of Information Technology
  • Xia Chen College of Applied Mathematics Chengdu University of Information Technology
  • Lan Xiao College of Applied Mathematics Chengdu University of Information Technology

Abstract

This paper studies approximate solutions for a class of nonlinear diffusion population models. Our methods are to use the fundamental solution of heat equations to construct integral forms of the models and the well-known Banach compression map theorem to prove the existence of positive solutions of integral equations. Non-steady-state local approximate solutions for suitable harvest functions are obtained by utilizing the approximation theorem of multivariate continuous functions.

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Published

2021-02-23

Issue

Volume 26, Number 1, March 2021

Section

Articles