[PDF] Top 20 Prey-Predator Model with General Holling Type Response Function and Optimal Harvesting Policy

... 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

... our model the modification of the effort function of the model ...our model. Then, we discuss the optimal harvesting policy of model (1) in the section ... See full document

... a general and robust prey-predator model with stage-structure with constant maturation time delay and performed a systematic mathematical and computational ...population model with age ... 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 model and explain the optimal harvesting policy to be adopted by a regulatory ...Hamiltonian function and using Pontryagin’s maximum principle, the optimal harvesting ... See full document

... and harvesting in prey population, and found that optimal harvesting policy is dependent on both gestation delay and Allee ...a harvesting predator-prey ... See full document

... in prey and predator ...both prey and predator simultaneously. Moreover, with Holling type-II response function, the models with time delay become easier to tackle ... See full document

... Kolmogorov model is a general continuous time predator–prey model, consisting of a system of first order differential equations ...Lotka–Volterra model [47], Gauss-type ... See full document

... Leslie-Gower predator-prey model with Holling Type-IV functional response and with disease in prey population in presence of predator harvesting is ...and ... See full document

... ratio-dependent predator–prey model with Holling III type functional response and nonlinear harvesting in presence of white noise terms to understand the dynamics in ... See full document

... In this paper, we are concerned with the effects of the time-dependent of ecological and environmental para- meters and time delays due to gestation and negative feedbacks on the global dynamics of ... See full document

... the prey refuge has a positive effect on the persistence prop- erty of the system, indeed, with the increasing of prey refuge, the predators have difficulty in catching the prey species, this directly ... See full document

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

... the predator-prey model is amongst the oldest studies and also the first model to illustrate the interaction between predators and ...This model assume that the predator ... See full document

... their prey, for example parasites and their hosts; mutualism is an interaction in which both species in the system benefits from each other; and detitrivory (commensalism) is an interaction in which a ... See full document

... of prey refuges, the refuges used by prey have a stabilizing effect on the considered interactions, and prey extinction can be prevented by the addition of refuges ... See full document

... Leslie-Gower predator-prey model with continuous threshold prey harvesting is ...system. Optimal harvesting is also investigated and some numerical simulations are given ... See full document

... Lotka-voltera type models assume that the per- capita rate of predation depends on the prey numbers ...functional response is a func- tion of prey density only. In general, predator’s ... See full document

... Already, many authors [13,14,17-23] have argued that the discrete time models gov- erned by difference equations are more appropriate than the continuous ones when the populations have non-overlapping generations. Based ... See full document

... not necessary.” In [6] , by establishing a new difference inequality, Fan and Wang showed that feedback control has no influence on the permanence of a single species discrete model. Their success motivated us to ... See full document