[PDF] Top 20 Periodic Solution for a Stochastic Predator Prey Model with Impulses and Holling II Functional Response

... “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

... for prey and predator density at time ...for prey intrinsic growth rate, carrying capacity, capturing rate, half-capturing saturation constant, predator intrinsic growth rate, and conversion ... See full document

... positive solution and the solution is stochastically ultimately ...that stochastic system ...extinction, stochastic persistence in the mean of the population are ...positive periodic ... See full document

... the prey-predator ...reaction-diffusion periodic food-chain system with ratio-dependent functional response, they obtained the sufficient conditions for the ultimate boundedness and ... See full document

... Fractional calculus is an extension of classical calculus that generalizes the order of deriva- tives and integrals to a non-integer order. Fractional calculus was first discussed more than 300 years ago by Leibniz and ... See full document

... growth model with a special mound-shaped production ...based model of capital ...growth model with two ...bifurcating periodic solutions by using a center manifold theorem and the normal form ... See full document

... in predator-prey system, Holling type functional response has been widely used to describe the relationship between two species ...the Holling II functional ... See full document

... between prey and predator has long been and will continue to be a dominant theme in ecology due to its universal importance and ...the predator-prey is functional response, ...of ... See full document

... the predator and the prey has been a dominant theme in ...predator’s functional response is one significant component of the predator-prey ...classical Holling types I-III ... 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

... above model, please refer to [, , ...the predator-prey model due to the universality of predator-prey interaction in the natural ...the predator-prey ... See full document

... the functional response, which is a key element in all preda- tor-prey interaction, is referred to the number of prey eaten per predator per unit time as a function of prey ... See full document

... impulsive prey-predator system with a Holling II functional response and ...mature predator periodic solution and the permanence are ... See full document

... Volterra, predator–prey models play an impor- tant role in both theory and practice, they help us to understand the relationship of biolo- gies and environment, and have been studied by many scholars, see ... See full document

... An important assumption behind the work of Chen et al. [2, 3, 4] is that all individuals take the identic amount of time to become mature, which seems biologically unreasonable since individuals in a population do not ... See full document

... of predator-prey models have been proposed and an- alyzed from various ...phenomena, functional response is one of the most important factors that affect dynamical properties of biological and ... See full document

... On the other hand, the growth of species in nature is often limited by envi- ronmental factors. Generally speaking, there are two main types of environmen- tal noise: white noise and colored noise. Wenjie Zuo et al. [4] ... See full document

... Abstract—This paper deals with a delayed three-level food chain model with Beddington-DeAngelis functional response. By using the differential inequality theory, a set of sufficient conditions are ... See full document

... them, predator-prey models attracted more and more attention of biologists and ...of predator-prey models in the ...the predator-prey system with the Bedding- ton-DeAngelis ... See full document

... structured model for study of population dynamics of ...of prey into the ...juvenile prey and adult prey, which is denoted as τ in our ...adult prey perceive predation risk and are able ... See full document