[PDF] Top 20 Analysis of a stochastic eco epidemiological model with modified Leslie–Gower functional response

... Thus, eco-epidemiology, merging the ecological predator–prey model and the epidemi- ological model, has developed a new branch of research in theoretical ...of eco-epidemiology where the ... See full document

... chain model with Beddington-DeAngelis func- tional response ...growth model with two delays and they investigated the existence and properties of Hopf bifurcation of the model by regard- ing ... See full document

... Theorem A shows that feedback control variables play important roles in the persistent property of system (.). But the question is whether or not the feedback control variables have influence on the permanence of the ... See full document

... This paper investigates a diffusive predator–prey system with modified Leslie–Gower and B–D (Beddington–DeAngelis) schemes. Firstly, we discuss stability analysis of the equilibrium for a corresponding ... See full document

... In spite of a lot of works focused on the global dynamics and bifurcation analysis of the ecological systems (e.g., [2–23]), in realistic environment, ecological systems are usually affected by the seasonable ... See full document

... We have discussed the bionomical equilibrium of the model and explain the optimal harvesting policy to be adopted by a regulatory agency. By constructing an appropriate Hamiltonian function and using Pontryagin’s ... See full document

... this model is that, according to the FR p(u), predator consumes prey and there is a logistic growth of prey population with growth rate r ...a modified Leslie-Gower(L-G) model in ... See full document

... population model. In population dynamics, the functional response of predator to prey density refers the attack rate per unit time ...using functional response ... See full document

... and functional responses and understand the interactions among the predators and the preys such as Lotka-Volterra type [, ], Holling type [], Beddington- DeAngelis type [, ] and so ...to model the ... See full document

... species eco-epidemiological model with disease in the migratory prey is ...modified Leslie-Gower functional scheme, with saturated incidence and recovery rate are considered in ... See full document

... predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is ...qualitative analysis and Lyapunov direct method, respectively, three sufficient ... See full document

... of chaos phenomena of the system. The existence of branches makes the changing laws of nature more complicated, which is also in line with objective facts. Branch theory is increasingly applied in the study of ... See full document

... predator-prey model should consider the functional response of the predator species, it seems interesting to investigate the dynamic behaviors of the Leslie-Gower predator-prey ... See full document

... This paper is devoted to the study of an eco-epidemiological model with stage structure in the predator and disease in the prey. To begin with, the positivity and boundedness of the solutions are ... See full document

... In the tropic network, the predator-prey link is characterized by the dynamic interaction between prey and predator populations. This interaction that can bind three and probably many species is the extension of the one ... See full document

... this model but with several constant arguments delayed and without the term of ...the model [1] with introduction of delays in Leslie–Gower ...predator’s functional response to ... See full document

... autonomous eco-epidemiological model is more realistic than autonomous ...nonautonomous eco-epidemiological models have been studied in [25] [26] [27] [28] ... See full document

... Most predators are fast-moving which is a crucial survival skill for some animals. For example, tigers have to run faster to catch a running deer and a large fish has to swim faster to catch a school of small fish. ... See full document

... Crowley-Martin functional response. The existence of a global positive solution and stochastically ultimate boundedness are obtained. Sufficient conditions for extinction, persistence in the mean, and ... See full document

... In fact, all the populations in the natural world are inevitably affected by environmen- tal white noise which is an important component in reality. Therefore, many stochastic models for single-species or ... See full document