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Stability and bifurcation analysis of a discrete prey–predator model with square-root functional response and optimal harvesting
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In this paper, a discrete prey-predator model with square-root functional response and optimal harvesting policy was considered, and the authors used this type of functional response to study the dynamics of the predator-prey interactions.Abstract:
In this paper, we have considered a discrete prey–predator model with square-root functional response and optimal harvesting policy. This type of functional response is used to study the dynamics o...read more
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Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response
TL;DR: In this article, the dynamics of a predator-prey system considering square root type functional response for prey herd behavior and nonlinear prey harvesting has been analyzed, and conditions under which all equilibria exist as well as the stability of every equilibrium point of the system have been investigated.
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Bifurcation analysis of a discrete Phytoplankton-Zooplankton model with linear predational response function and toxic substance distribution
TL;DR: In this paper , a discretized two-dimensional Phytoplankton-Zooplon model is investigated and the results for the existence and uniqueness, and conditions for local stability with topological classifications of the equilibrium solutions are determined.
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Bifurkasi Hopf pada Model Lotka-Volterra Orde-Fraksional dengan Efek Allee Aditif pada Predator
Hasan S. Panigoro,Dian Savitri +1 more
TL;DR: In this article, the authors studied the dynamics of a Lotka-Volterra predator-prey model with Allee effect in predator according to the biological condition, the Caputo fractional-order derivative is chosen as its operator and identified the existence, uniqueness, and non-negativity of the solution.
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Bifurcation and Chaos in a Phytoplankton-Zooplankton Model with Holling Type-II Response and Toxicity
Abdul Qadeer Khan,H. S. Alayachi +1 more
TL;DR: In this article , the authors studied dynamical characteristics of a discrete-time phytoplankton-zooplankton model with Holling type-II predational functional response and toxic substance distribution.
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Dynamics on Effect of Prey Refuge Proportional to Predator in Discrete-Time Prey-Predator Model
TL;DR: In this paper, the authors examined the influence of prey refuge proportional to predator effect in a discrete prey-predator interaction with the Holling type II functional response model and provided the bifurcation diagrams and Lyapunov exponents to analyze the refuge parameter of the model.
References
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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.
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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).
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The functional response of predators to prey density and its role in mimicry and population regulation.
TL;DR: These are my lecture notes from CS681: Design and Analysis of Algo rithms, a one-semester graduate course I taught at Cornell for three consec utive fall semesters from '88 to.
Book Review: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
John Guckenheimer,Philip Holmes +1 more
TL;DR: Guckenheimer and Holmes as discussed by the authors survey the theory and techniques needed to understand chaotic behavior of ODEs and provide a user's guide to an extensive and rapidly growing field.
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Modeling herd behavior in population systems
TL;DR: In this paper, the authors consider a more elaborated social model, in which the individuals of one population gather together in herds, while the other one shows a more individualistic behavior, and model the fact that interactions among the two occur mainly through the perimeter of the herd.