The effect of diffusion on giant pandas that live in complex patchy environments
Articles
Xiangyun Shi
Xinyang Normal University; Beijing Forestry University, China
Guohua Song
Beijing Forestry University, China
Zeyu Li
Beijing Technology and Business University, China
Published 2015-01-20
https://doi.org/10.15388/NA.2015.1.4
PDF

Keywords

giant panda
diffusion
patch
permanence
extinction
stability

How to Cite

Shi X., Song G. and Li Z. (2015) “The effect of diffusion on giant pandas that live in complex patchy environments”, Nonlinear Analysis: Modelling and Control, 20(1), pp. 56-71. doi: 10.15388/NA.2015.1.4.

Abstract

The habitat loss and fragmentation is almost the greatest threat to the survival of the wild giant panda. In this paper, we construct a mathematical model to consider the effect of diffusion on giant pandas that live in complex patchy environments. Our discussion includes the studying of a diffusive n-dimensional single species model, sufficient conditions are derived for the permanence and extinction of the giant panda species. Especially, we also discuss the situations of diffusion of giant pandas between two patches, and numerical simulations are presented to illustrate the results. Furthermore, we consider the existence, uniqueness, and global stability of the positive periodic solution of the n-dimensional single species model. The implications of these results are significant for giant panda conservation.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy