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Bifurcation analysis of a two-dimensional predator–prey model with holling type iv functional response and nonlinear predator harvesting
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In this article, the authors investigate the dynamical behavior of a two-species predator-prey model with Holling type IV functional response and nonlinear predator harvesting, and investigate the positivity and bo...Abstract:
The aim of this paper is to investigate the dynamical behavior of a two-species predator–prey model with Holling type IV functional response and nonlinear predator harvesting. The positivity and bo...read more
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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
Bifurcation and chaos in a discrete predator–prey model with holling type-iii functional response and harvesting effect
Anuraj Singh,Preeti Deolia +1 more
TL;DR: In this paper, a discrete-time predator-prey model with Holling type-III functional response and harvesting in both species was studied, and a detailed bifurcation analysis, depending on some parameter, was performed.
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
Global dynamics of a prey–predator model with holling type iii functional response in the presence of harvesting
TL;DR: In this paper , the authors investigated global dynamics of a two-species food chain model with the Holling type III functional response that includes linear harvesting for the prey and nonlinear harvesting of the predator.
References
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Journal ArticleDOI
Some characteristics of simple types of predation and parasitism
TL;DR: In an earlier study (Holling, 1959), the basic and subsidiary components of predation were demonstrated in a predator-prey situation involving the predation of sawfly cocoons by small mammals.
Journal ArticleDOI
The components of prédation as revealed by a study of small-mammal prédation of the European pine sawfly.
TL;DR: Predation, one such process that affects numbers, forms the subject of the present paper and is based on the density-dependence concept of Smith ( 1955) and the competition theory of Nicholson (1933).
Journal ArticleDOI
A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates
TL;DR: The model should be of value in investigations of the stability of biological processes used for the treatment of certain industrial wastes such as those containing phenols, thiocyanates, nitrates, ammonia, volatile acids, etc., which are known to be inhibitory to many of the organisms metabolizing them.
Journal ArticleDOI
Global analysis in a predator-prey system with nonmonotonic functional response ∗
Dongmei Xiao,Shigui Ruan +1 more
TL;DR: A predator-prey system with nonmonotonic functional response is considered and global qualitative and bifurcation analyses are combined to determine the global dynamics of the model.
Journal ArticleDOI
Kinetics of phenol oxidation by washed cells
W. Sokol,John A. Howell +1 more
TL;DR: The purpose of the experiments was to determine the kinetic parameters governing uptake of phenol by organisms growing on phenol in the high‐conversion range by measuring uptake rates per unit biomass per unit time at various phenol concentrations.
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