[PDF] Top 20 Global solutions for a general predator prey model with cross diffusion effects

... the model (), u and v represent the densities of the prey and predator respectively, the constants d, s and c refer to the predator death rate, the inter-specific competition coefficient and the ... See full document

... reaction-diffusion predator-prey model with stage structure and continuous harvesting for predator is ...the model is investigated. The existence and uniqueness of the ... See full document

... a predator-prey model with impulsive diffusion and releasing on predator ...This predator-prey model for two regions, which are connected by diffusion of predator ... See full document

... mathematical model has been proposed and analyzed to study the stability on the dynamics of a two patchy predator-prey ...The model has been analyzed in a marine environment with effect of ... See full document

... mathematical model could be described by two types of systems: a contin- uous system or a discrete ...the predator-prey systems play a fundamental and crucial role (for more details, we refer to [3, ... See full document

... delayed predator-prey system with Leslie-Gower and ratio-dependent Holling type III schemes subject to homogeneous Neumann boundary ...of solutions and the dissipativeness of the system are presented ... See full document

... dynamics model such as ...population model, the Gilpin–Ayala population model is important and essential due to its wide applications and ...population model is changed into the Lotka–Volterra ... See full document

... the global boundedness of solutions in a reaction– diffusion system is a comparatively effortless outcome to the corresponding predator– prey ...a prey-taxis term in (1.1) makes it ... See full document

... Leslie-Gower predator-prey model with general functional response under homogeneous Robin boundary ...this model with Holling-type II functional ... See full document

... on general Turing or Hopf bifurcation un- der Neumann boundary condition, more and more scholars start to investigate the high codimension bifurcation of reaction-diffusion equation, especially Turing–Hopf bifurca- ... See full document

... the prey-dependent functional response ...the global stability of the unique positive constant steady state and gained some important conclusions about pattern formation for ...time-dependent ... See full document

... periodic solutions of the prey-predator model has been widely studied ...of predator-prey systems is an interest- ing mathematical problem and has attracted a great attention of ... See full document

... type cross-diffusion systems have attracted the attention of a great number of investigators and have been successfully developed on the theoretical ...by cross-diffusion, and the existence of ... See full document

... the solutions for the reaction-diffusion system 1.3 , the global existence, and the convergence of solutions for the cross-diffusion system ...of global solutions for the strongly ... See full document

... region. Cross-diffusion expresses the population fluxes of one species due to the presence of the other ...the cross-diffusion coefficient may be positive, negative, or ...positive cross-diffusion ... See full document

... region of origin of an exotic pest, specifically for the purpose of suppressing the abundance of the pest in a new target region to a level at which it no longer causes economic damage. Jiao et al. [] analyzed the ... See full document

... and discussed the dynamic behaviors of the model. On the other hand, when the size of the population is rarely small or the population has non-overlaping gen- eration, the discrete time models are more appropriate ... See full document

... of predator-prey system in- corporating a prey refuge become one of the most important research topic, see [–] and the references cited ...Leslie-Gower predator-prey model ... See full document

... between predator and prey [–]. Interaction between predator and prey is hard to avoid being influenced by some ...infected predator-prey systems ...a ... See full document

... the prey is subject to Allee effect, it is assumed that the predator manage some additional food source (for which there is serious intraspecific competition among them), and there is mutual interference ... See full document