Computer numerical simulation of diffusion on the giant panda population dynamics models among small areas

Abstract

Habitats of the giant panda, total area 80.04 km2, in the Xiaoxiangling Mountains are distributed in Shimian County of Ya’an municipality, Mianning County of Liangshan Prefecture, Jiulong County of Ganzi Prefecture. Habitats of the giant panda in Shimian are the largest with 54.48% of total area and that of Jiulong County the smallest with 4.40%.Because of over-deforestation along the Tuowu Mountains and frequent anthropological activities, the giant panda population in Xiaoxiangling mountains has been separated into two parts, i.e. Population A and Population B. This environment of small regional (or patches, islands) is a potential threat to the diversity and the survival of biological species. For studying the influence of the diffusion of giant panda population among small areas on its permanence, building corridors and migrating the living environment of giant pandas are adopted to protect the giant panda. Thus, an nonlinear dynamic model of the giant panda habit in Xiaoxiangling Mountains is established. Using computer simulation, the periodic solutions and phase diagrams of the dynamical systems are drawn, and the numerical simulation results shows that: the diffusion of giant pandas will promote their permanence.