Open AccessDynamics of the predator-prey models on the two-patch fragmented habitat with dispersal
Author(s) -
Ti Yang,
Kaijen Cheng,
Jin-Wei Yu
Publication year - 2016
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.47.2016.1984
Subject(s) - biological dispersal , predation , predator , ecology , population , extinction (optical mineralogy) , habitat , dynamics (music) , boundary (topology) , mathematics , biology , physics , mathematical analysis , paleontology , demography , sociology , acoustics
In this work, we consider the population-dispersal dynamics for predator-prey interactions in a two-patch environment. On each fragmented patch, there is a two-species predator-prey ecological system. It is assumed that the predator species are mobile. The existence and local dynamics of boundary equilibria and interior equilibria with respect to parameters are completely classified. Moreover, global extinction results are established analytically. In particular, the phenomenon of over-exploitation is also found in these discrete patches models. Finally, some biological interpretations are discussed.