Journal ArticleDOI
Stability analysis of a three species food chain model with linear functional response via imprecise and parametric approach
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TLDR
A new concept of interval representation named as linear parametric representation is introduced by which a biological system in an uncertain situation can be formulated mathematically in a precise way.About:
This article is published in Journal of Computational Science.The article was published on 2021-09-01. It has received 10 citations till now. The article focuses on the topics: Parametric statistics & Parametric equation.read more
Citations
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Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting
TL;DR: The proposed imprecise model is formulated by considering two more realistic factors: the effect of a fear factor on the growth rate of prey population and non-linear harvesting of predator population.
Journal ArticleDOI
Studies of different types of bifurcations analyses of an imprecise two species food chain model with fear effect and non-linear harvesting
TL;DR: In this paper , the authors studied the stability and local bifurcations of an imprecise prey-predator system in an uncertain environment, where they considered the effect of a fear factor on the growth rate of prey population and non-linear harvesting of predator population.
Journal ArticleDOI
A systematic study of autonomous and nonautonomous predator–prey models for the combined effects of fear, refuge, cooperation and harvesting
TL;DR: In this paper , the roles of fear, refuge and hunting cooperation on the dynamics of a predator-prey system were investigated, where the predator population is subject to harvesting at a nonlinear rate.
Journal ArticleDOI
Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect
TL;DR: In this paper , the memory effect is explained in terms of the order of the fractional derivative and the positivity and boundedness of the system solution are discussed in the text.
Journal ArticleDOI
Memory effect on prey-predator dynamics: Exploring the role of fear effect, additional food and anti-predator behaviour of prey
TL;DR: In this paper , a two-dimensional prey-predator model is proposed and formulated mathematically using a system of two fractional order differential equations, where the Caputo sense fractional derivative is used to construct the fractional-order differential equations.
References
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Journal ArticleDOI
Complex dynamics of Holling type II Lotka–Volterra predator–prey system with impulsive perturbations on the predator ☆
Xianning Liu,Lansun Chen +1 more
TL;DR: In this article, the authors developed the Holling type II Lotka-Volterra predator-prey system, which may inherently oscillate, by introducing periodic constant impulsive immigration of predator.
Journal ArticleDOI
Stability analysis of a prey–predator model incorporating a prey refuge
TL;DR: In this article, the authors considered a predator-prey model with a Holling type II response function incorporating a prey refuge and provided mathematical analysis of the model and discussed some significant qualitative results that are expected to arise from the interplay of biological forces.
Journal ArticleDOI
Global analyses in some delayed ratio-dependent predator-prey systems
Edoardo Beretta,Yang Kuang +1 more
Journal ArticleDOI
Influence of stochastic perturbation on prey-predator systems.
TL;DR: The influence of various stochastic perturbations on prey-predator systems is analysed and the differences between the deterministic and stochastically models are indicated.
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