[PDF] Top 20 Effect of pollution on prey-predator system with infected predator

... Keeping in view the above discussions, a mathematical model is proposed with effect of pol- lutant on a prey-predator system with disease in predator.A mathematical model is proposed in ... See full document

... Allee effect on the stage structure model, also, since the creatures of higher rank are more likely to die out or have Allee effect, due to the lack of food, it is necessary to investigated the ... See full document

... Allee effect has no influence on the population densities of both species at the stable steady-state ...the system subject to an Allee effect approach the equilibrium solution more slowly than in the ... See full document

... discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continuous system in (Nonlinear ... See full document

... For the stochastic Lotka - Volterra equation, a systematic review has been given in [11-13]. In our separate paper [14], we analyze the Lotka - Volterra predator-prey system with constant ... See full document

... have prey dependent interaction and some have ratio-dependent interaction which indeed carried on lots of debate [20, 28, 2, 11, 8, ...the predator interacts with infected prey ...the ... See full document

... of prey refuges have two major influ- ences on prey predator ...the system [13, 14, 15, 16, 17, 18, 19, 20]. A continuous time prey-predator model assuming the rate of ... See full document

... a predator-prey model with a refuge and an open habitat for ...a prey refuge and the environment carrying capacity of prey are ...of prey and predator, fast and slow time scales ... See full document

... an prey refuge with disease in the prey population which is governed by modified logistic equation ...increase prey densities and lead to population ...non-dimensionalized system (2.2) is ... See full document

... of prey at time t, and also the function y(t) represents the populations of predator at time ...the prey in the absence of ...the effect of predator in the prey ...the ... See full document

... a prey-predator system with switching in the predator is proposed for study, the system involving an SIS epidemic disease in prey ...the prey population is divided into ... See full document

... in prey or in predator plays an important role in the dynamics of a prey-predator ...of prey that are infected by parasites (see, Vaughn and Coble (Vaughn, ...the prey, so ... See full document

... The organization of this paper is as follows. In Section 2, we discuss the existence and stability of positive equilibrium point of system (2). The influence of predator mutual inter- ference is discussed ... See full document

... an infected predator-prey model with Beddington-DeAngelis functional response from a classical deterministic framework to a stochastic differential equation ...SDE system by using the technique ... See full document

... of infected prey only, size of prey and predator population is not affected where as removal of susceptible prey will not affect the prey level but will reduce the ... See full document

... important Predator – Prey models with the functional response is the Holling type – IV, originally due to Holling which has been extensively studies in many articles [4-6, ...of predator to its ... See full document

... Leslie-Gower prey-predator model [, ], we propose a discrete-time prey-predator system with predator partially dependent on prey [] and investigate the stability and ... See full document

... Population biology is an important subject in both ecology and mathematical ecology. And predator-prey model is one of the most interesting and popular areas in population biology. Many scholars have done a ... See full document

... The FGH model supports the feature that the solutions are bounded from the onset by the carrying capacity of the prey and the population saturation of the predator. This makes applying Poincaré-Bendixson ... See full document

... response predator-prey model with a threshold harvesting ...the system be- fore and after the ...The system undergoes a Hopf bifurcation when it passes a critical time ... See full document