Displaying similar documents to “Numerical solutions of a fractional predator-prey system.”

Solving ratio-dependent predator-prey system with constant effort harvesting using homotopy perturbation method.

Mathematical Problems in Engineering

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A new application of the homotopy analysis method in solving the fractional Volterra's population system

Applications of Mathematics

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This paper considers a Volterra's population system of fractional order and describes a bi-parametric homotopy analysis method for solving this system. The homotopy method offers a possibility to increase the convergence region of the series solution. Two examples are presented to illustrate the convergence and accuracy of the method to the solution. Further, we define the averaged residual error to show that the obtained results have reasonable accuracy.

Solving Ratio-Dependent Predator-Prey System with Constant Effort Harvesting using Variational Iteration Method

Serdica Journal of Computing

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Due to wide range of interest in use of bio-economic models to gain insight into the scientific management of renewable resources like ﬁsheries and forestry,variational iteration method (VIM) is employed to approximate the solution of the ratio-dependent predator-prey system with constant eﬀort prey harvesting.The results are compared with the results obtained by Adomian decomposition method and reveal that VIM is very eﬀective and convenient for solving nonlinear differential equations. ...

Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment.

International Journal of Mathematics and Mathematical Sciences

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Persistence and stability for a generalized Leslie-Gower model with stage structure and dispersal.

Abstract and Applied Analysis

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A prey-predator model with a cover linearly varying with the prey population and an alternative food for the predator.

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

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Extinction in a generalized Lotka-Volterra predator-prey model.

Journal of Applied Mathematics and Stochastic Analysis

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A prey-predator model with an alternative food for the predator, harvesting of both the species and with a gestation period for interaction.

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

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The effect of impulsive diffusion on dynamics of a stage-structured predator-prey system.

Discrete Dynamics in Nature and Society

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Global properties of the three-dimensional predator-prey Lotka-Volterra systems.

Journal of Applied Mathematics and Decision Sciences

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Dynamic behaviors of a harvesting Leslie-Gower predator-prey model.

Discrete Dynamics in Nature and Society

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