An ecological model with the p-Laplacian and diffusion

作     者：S. H. Rasouli 

作者机构：Department of Mathematics Faculty of Basic Sciences Babol University of Technology Babol Iran 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第1期

页      面：157-163页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Ecological model infinite semipositone sub- and super-solutions. 

摘      要：We study the existence of positive solutions of a population model with diffusion of the form {-△pu=aup-1-f（u）-c/ua,x∈Ω,u=0,x∈Ω where △p denotes the p-Laplacian operator defined by △pz =div（｜z｜P-2z）, p 〉 1, Ω is a bounded domain of RN with smooth boundary, α∈ C （0, 1）, a and e are positive constants. Here f ： [0, ∞） → R is a continuous function. This model arises in the studies of population biology of one species with u representing the concentration of the species. We discuss the existence of positive solution when f satisfies certain additional conditions. We use the method of sub- and super-solutions to establish our results.