Study of Prey-Predator Model Formulation and Stability Analysis

Manna, Balaram; Paul, Subrata; Mahata, Ani mesh; Mukherjee, Supriya; Roy, Banamali

doi:10.1007/978-981-19-0182-9_57

Cited by 2 publications

(1 citation statement)

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“…Individual attentiveness rises when group size diminishes, according to field study on social animals. Predation is causing small groups of prey to become extinct [12]. In population demographics, group defense is a common phrase that describes an occurrence in which predation is reduced as prey's capacity to protect or hide themselves increases when they are in large numbers or form a group.…”

Section: Introductionmentioning

confidence: 99%

Study of Fractional Order Tri-Tropic Prey-Predator Model with Fear Effect on Prey Population

Paul¹,

Mahata²,

Mukherjee³

et al. 2022

APM

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In this manuscript, we have studied a fractional-order tri-trophic model with the help of Caputo operator. The total population is divided into three parts, namely prey, intermediate predator and top predator. In addition, the predator fear impact on prey population is suggested in this paper. Existence and uniqueness along with non-negativity and boundedness of the model system have been investigated. We have studied the local stability at all equilibrium points. Also, we have discussed global stability and Hopf bifurcation of our suggested model at interior equilibrium point. The Adam-Bashforth-Moulton approach is utilized to approximate the solution to the proposed model. With the help of MATLAB, we were able to conduct graphical demonstrations and numerical simulations.

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Section: Introductionmentioning

confidence: 99%