[PDF] Top 20 Analysis of a stochastic predator–prey population model with Allee effect and jumps

... cause jumps in the population ...biological population, and the mathematical explana- tion is that sample paths are not continuous almost ...that stochastic differential equations with Lévy ... See full document

... an Allee effect takes a longer time to reach its steady-state solution than the system ...The Allee effect reduces the population densities of both predator and prey at ... See full document

... of population is inevitably affected by the random interference factors ([19], ...study stochastic population models in polluted environments and to reveal the effects of random noises on the ... See full document

... of predator is a very important factor of predator-prey system, which reflects the average consumption rate of predator to ...the predator-prey system with functional response ... See full document

... a stochastic differential ...a stochastic predator-prey model with disease in the prey and discuss the asymptotic behavior around the positive equilibrium of its deterministic ... See full document

... above model does not incorporate the effect of time delay, but for a long time, it has been recognized that delays can have a complex effect on the dy- namics of a system [9] ...of prey and ... See full document

... any model on population dynamics which uses stochas- tic differential ...out analysis on the asymptotic behaviour of the model in Section ... See full document

... diffusive predator-prey system where the growth of prey population is governed by Allee effect and the predator population consumes the prey according to ... See full document

... A Hopf bifurcation occurs when a system has a pair of complex conjugate eigenvalues of the Jacobian matrix at an equilibrium point and when the stability of the equilibrium point changes from stable to unstable as a ... See full document

... The predator–prey model is one of the basic models between different species in nature which has been widely researched ...the population generally has a saturation ...delayed ... See full document

... susceptible predator population goes to extinction, the infected predator population will also die out, which is consistent with the ...the predator popula- tion now, we can consider it ... See full document

... the prey population and P is the predator population, q(P) is the average loss rate of predators, c is the conversion efficiency from prey to predator, K is the carrying capacity, ... See full document

... There are many investigations for predator–prey models [2–12] and [23, 25]. In recent years, the discrete-time population models have attracted more and more attention. On the one hand, when the ... See full document

... the predator-prey systems, a key factor in consideration is the Allee ...The Allee effect named after Allee[11], has significant contribution to population ...The ... See full document

... The Allee effect was first described by ecologist Allee []. The Allee effect may be caused by a variety of mechanisms applicable in small ...of Allee effects indicates that there is a minimal ... See full document

... for Allee effect, such as difficulty in mate finding, reduced antipredator vigilance, problem of environmental conditioning, reduced defense against predators, and many others (for thorough reviews, see ... See full document

... tor-prey model is an important branch. In this paper, a predator-prey reaction-diffusion system with weak Allee effect and homogeneous Neumann boundary condition is ... See full document

... between prey and predator is one of the most intriguing and significant topics due to its universal ...the predator-prey relationship is the predator’s functional ...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

... 1931, Allee [13] found that the population growth rate is negative or decreasing func- tion at low population size, which is now called as the Allee ...The Allee effect can be ... See full document