[PDF] Top 20 Dynamic study of a predator prey model with Allee effect and Holling type I functional response

... interacting prey-predator ...between predator and prey is analyzed [1–24]. The classic predator-prey model is the Lotka–Volterra model, which was independently ... See full document

... Let us continue to discuss the long time behavior of stochastic model (1.2). From the point of view of the optimal management of renewable resources, how much can we harvest without dangerously altering the ... See full document

... and prey, including ratio-dependent functional responses [3, 4, 11, ...capita predator is a function of the ratio of prey to predator ... See full document

... incorporating prey refuge is ...the functional response plays an important role in determining the dynamics of the ...the prey refuge has a destabilizing effect under some certain ... See full document

... of predator-prey models has a long ...that prey growth is damped by the strong Allee ...the Allee effect and predation, suc- cessful establishment of exotic species may not nec- ... See full document

... robust prey-predator model with stage-structure with constant maturation time delay and performed a systematic mathematical and computational ...population model with age dependent harvesting ... See full document

... 1965, Holling [8] proposed three types of functional response functions according to different kinds of species on the foundation of ...of predator-prey systems with Holling ... See full document

... times predator-prey dynamics have acted as important mechanism for understanding the complicated nature of interactions among various species in the ...the predator-prey(PP) model is ... See full document

... A Holling type III functional response predator-prey system with constant gestation time delay and impulsive perturbation on the prey is ...a predator-extinction ... See full document

... the study of dynamic behavior of a predator-prey reaction-diffusion system with Holling type II functional response, a natural problem is what the global behavior ... See full document

... the model and the boundedness of the solutions of the sys- tem ...we study the Hopf bifurcation of system ...of prey refuge and give numerical ... See full document

... simplest model of Lotka-Volterra, researchers gradually developed different kinds of population models which are more realistic and much needful for demand-supply chain in between human population and natural ... See full document

... “functional response”, which represents the consumption per unit of time. Holling-II functional re- sponse is one of the most important functional responses ...deterministic ... See full document

... This paper is organized as follows. Basic properties such as the boundedness, existence, stability and instability of the equilibria of the model are given in Section . In Section , sufficient conditions for the ... See full document

... 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

... Allee effect, which describe the fact that the reduce per-capita population growth rate at low densities, such phenomenon can be caused by difficulties in finding a mate or predator avoid danger or ... See full document

... symbiosis model with Holling type functional response and Allee effect to the second species, they showed that the dynamic behaviors of the system is similar to the ... See full document

... the dynamic behaviors of a delayed predator– prey system with Allee effect in prey and Holling type II function ...to study the stability and Hopf bifurcation of ... See full document

... in response to a change of the environment in order to survive and acquire the highest payo ff ...single-species model, a two-patch competition model, a two-patch predator-prey ... See full document

... the prey-predator system consisting of immature and mature individuals were an- alyzed in ...stage-structured prey-predator model with impulsive stocking on prey and continuous ... See full document