Wanlin Chen

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A Lotka–Volterra predator–prey model incorporating a prey refuge and mutual interference of predator species is considered in this paper. By developing some new analysis technique, we are able to show that the two boundary equilibria are both saddle points and the interior equilibrium is globally asymptotically stable. Those results implicate that in the(More)
In this paper, we consider a two species non-autonomous discrete competitive phytoplankton system with one toxin producing phytoplankton. We show that for such kind of system, it is also possible one of the components be driven to extinction while the other one will be globally attractive with any positive solution of a discrete logistic equation under some(More)
Lactuca serriola, a national class quarantine object, is a new invasive species in the coastal area of Southeast China. The coenological survey showed that because of its big individual, L. serriola could easily form dominant population in its invaded area, and its main accompany species were Conyza canadensis, C. bonarinisis, Bidentis bipinnata, Oenothera(More)
A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional response is studied in this paper. A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively. Our results show that if refuge is large enough then predator species will be driven to(More)
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