Additive Allee effect of top predator in a mathematical model of three species food chain

Mandal, Supriya; Basir, Fahad Al; Ray, Santanu

doi:10.1007/s40974-020-00200-3

Cited by 8 publications

(1 citation statement)

References 30 publications

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“…Additionally, it can facilitate coexistence in an endemic state and, under specific conditions, hinder the spread of infections. The potency of the Allee effect is inversely related to the level of chaotic behavior observed in ecological models [20][21][22]. In studies concerning prey-predator interactions, the choice of functional response is crucial.…”

Section: Introductionmentioning

confidence: 99%

Eco-epidemic Dynamics with Infected Communicable Infection from Prey to Predator: Effect of Recovery Delay for Predator

Rajawat,

Dhar,

Sinha

2024

Preprint

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In this paper, the system including communicable infection from prey to predator , represented by the growing rate of the prey as a healing of a predator’s, has been utilized to develop and analyze a four-dimensional, non-linear eco-epidemic model. In the context of the analysis, the exploration of all potential equilibrium points, along with an examination of their local stability conditions, has been conducted both with and without considering time delays. Additionally, the confirmation of the model’s positivity and boundedness has been carried out. The positive and negative impact of the proposed model on the prey-predator population has been investigated aided by sensitivity analysis where the presence and validence of Bifurcation were elucidated by the numerical studies. The parameters were identified which explained the influence of disease and recovery delay over the model population. A right base for the perception of the behavioural effects of the prey-predator on eco-epidemiology has been prepared through the theoretical result. Based on the analytical result furthermore, numerical simulations were done so that the authenticity of the author’s numerical analytical approach using parameter values may be verified.

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Section: Introductionmentioning

confidence: 99%