山东大学教师主页宋礼鹏 PATTERN DYNAMICS OF A DELAYED ECO-EPIDEMIOLOGICAL MODEL WITH DISEASE IN THE PREDATOR 中文主页

PATTERN DYNAMICS OF A DELAYED ECO-EPIDEMIOLOGICAL MODEL WITH DISEASE IN THE PREDATOR: 发布时间：2020-08-10 | 点击次数：

发表刊物：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

关键字：PREY MODEL; QUALITATIVE-ANALYSIS; TIME-DELAY; PERSISTENCE; BIFURCATION; VOLTERRA

摘要：The eco-epidemiology, combining interacting species with epidemiology, can describe some complex phenomena in real ecosystem. Most diseases contain the latent stage in the process of disease transmission. In this paper, a spatial eco-epidemiological model with delay and disease in the predator is studied. By mathematical analysis, the characteristic equations are derived, then we give the conditions of diffusion-driven equilibrium instability and delay-driven equilibrium instability, and find the ranges of existence of Turing patterns in parameter space. Moreover, numerical results indicate that a parameter variation has influences on time and spatially averaged densities of pattern reaching stationary states when other parameters are fixed. The obtained results may explain some mechanisms of phenomena existing in real ecosystem.

第一作者：Li Jing

全部作者：Jin Zhen, Sun Gui-Quan, Song Li-Peng

卷号：10

期号：5

页面范围：1025-1042

ISSN号：1937-1632

是否译文：否

发表时间：2017-10

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