[PDF] Top 20 Predator prey dynamics with Allee effect in prey refuge

... The Allee effect has numerous impacts on population dynamics, distribution and con- servation [–] and attracts much attention in ...In predator-prey systems, many authors have considered the ... See full document

... the Allee effect, white noise and jumps may cause great influence on the survival of ...stronger Allee effects can lead to the extinction of prey population, even if intensity of noise is not ...of ... See full document

... a predator-prey model with disease in prey incorporating predator ...a predator species from extinction, harvesting shall be used as an effective ...axial, predator extinct, ... See full document

... In this paper, we investigate the stability and Hopf bifurcation of a stage-structured predator-prey model incor- porating time delay with prey growth subject to a strong Allee effect. ... See full document

... in predator-prey ...a predator-prey system with Holling type-II functional response and a prey ...to predator extinction and prey stabilizing at high ...type ... See full document

... β are positive real numbers. They have studied stability and Neimark–Sacker bifurcation of a discrete-time predator–prey model. The analysis of bifurcations has already received much attention during the ... See full document

... Prey refuge can protect the prey from the attack of predators in some ...the prey? Now, additional food is very important for the ...to predator in prey–predator models ... See full document

... the predator-prey system (see [2]-[23] and the reference cited ...the predator-prey model involving the Allee effect, which reflects the fact that the population growth rate is ... See full document

... incorporating prey refuge is ...the dynamics behavior of the considered system is investigated, including stability, limit cycle and ...the dynamics of the ...the prey refuge has ... See full document

... Predator-prey interactions give regulatory system for the advancement of biological species. in natural ecosystem. Prey predator interactions and disease in the system affects each other [1, ... See full document

... fractional-order prey–predator systems, such as stability, bifurcations, chaos, have been researched by many investigators ...of predator-extinction equilibrium point and coexistence equilibrium ... See full document

... The predator–prey model has been ap- plied to describe the relationship between two species in biological systems in which one a predator feeds on the other its prey ...order ... See full document

... Lotka-Volterra predator- prey model incorporating predator mutual interference with a constant number of refuge and a constant fraction refuge, ...of predator species plays an ... See full document

... predator-nullcline, the two equilibria approach each other and collide for c = 0.28 and consequently, there is one equilibrium point; (c) for c = 0.3, both the nullclines cross twice, suggesting there are two ... See full document

... ABSTRACT: In the past decades, the research of reaction-diffusion equations has been one of the dominant themes due to its universal existence and importance. The applications of reaction-diffusion equations play an ... See full document

... susceptible prey population is growing logistically at the rate r with carrying ca- pacity ...susceptible prey and infected prey follows bilinear mass action called as Holling Type ...susceptible ... See full document

... the predator per prey item and ability of the predator to detect the prey ...many predator species. The role of alternative prey (additional food) in sustaining preda- tor ... See full document

... here r is the intrinsic per capita growth rate and K is the carrying capacity of the environment. The logic behind this is very simple. As the resources (e.g., space, food, and essential nutrients) are limited, every ... See full document

... the prey, infected predator and susceptible predator respectively; r is the growth rate of prey; a ,b the capture rate ( a  b ) ,  is the contact rate between the susceptible and infected ... See full document

... where the parameters a, r, m are positive and d ≥ . When d = , the system is the model with an Allee effect on the predator discussed by Wang, Zhang, and Liu []. The aim of this paper is to investigate ... See full document