Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS

  • Yang, Guangchong (College of Applied Mathematics Chengdu University of Information Technology) ;
  • Chen, Xia (College of Applied Mathematics Chengdu University of Information Technology) ;
  • Xiao, Lan (College of Applied Mathematics Chengdu University of Information Technology)
  • Received : 2020.06.02
  • Accepted : 2020.07.28
  • Published : 2021.03.15
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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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References

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