Open AccessAnalysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay
Author(s) -
Haiyun Wan,
Long Zhang,
Zhidong Teng
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/701545
Subject(s) - biological dispersal , uniqueness , diffusion , extinction (optical mineralogy) , stability (learning theory) , population , statistical physics , biological system , ecology , control theory (sociology) , computer science , mathematics , mathematical analysis , physics , biology , artificial intelligence , optics , thermodynamics , demography , control (management) , machine learning , sociology
In most models of population dynamics, diffusion between two patches is assumed to be either continuous or discrete, but in the real natural ecosystem, impulsive diffusion provides a more suitable manner to model the actual dispersal (or migration) behavior for many ecological species. In addition, the species not only requires some time to disperse or migrate among the patches but also has some possibility of loss during dispersal. In view of these facts, a single species model with dissymmetric bidirectional impulsive diffusion and dispersal delay is formulated. Criteria on the permanence and extinction of species are established. Furthermore, the realistic conditions for the existence, uniqueness, and the global stability of the positive periodic solution are obtained. Finally, numerical simulations anddiscussion are presented to illustrate our theoretical results
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