LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS
- Resource Type
- Article
- Authors
- Guang Chong Yang; Xia Chen; Lan Xiao
- Source
- Nonlinear Functional Analysis and Applications, 26(1), pp.83-92 Mar, 2021
- Subject
- 수학
- Language
- English
- ISSN
- 2466-0973
1229-1595
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.