Persistence and extinction in spatial models with a carrying capacity driven diffusion and harvesting

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:399

Article

Korobenko, L.¹  Kamrujjaman, Md.¹  Braverman, E.¹ 

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

关键词: Diffusion;    Harvesting;    Positive periodic solution;    Global attractivity;    Rate of convergence;    Logistic law;    Gilpin-Ayala growth;    Gompertz function;    Maximal yield;   

DOI  :  10.1016/j.jmaa.2012.09.057

来源: Elsevier

【 摘 要 】

For the reaction-diffusion equation partial derivative u(t, x)/partial derivative t = D Delta (u(t, x)/K(t, x)) + r(t, x)u(t, x)g (K(t, x), u(t, x)) - E(t, x)u(t, x) with the general type of growth, diffusion stipulated by the carrying capacity K and harvesting, existence, positivity, persistence, extinction and stability of solutions are investigated. In numerical simulations, the results are compared to the model with a regular diffusion. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free