\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2008, Volume 1, Issue 2: 303-315. Doi: 10.3934/dcdss.2008.1.303
This issue Previous Article Computing long-lifetime science orbits around natural satellites Next Article Modeling thermal effects on nonlinear wave motion in biopolymers by a stochastic discrete nonlinear Schrödinger equation with phase damping

Dynamics of ratio-dependent Predator-Prey models with nonconstant harvesting

  • 1.

    Department of Mathematics and Statistics, James Madison University, Harrisonburg, Virginia 22807

  • 2.

    Mathematics Department, Whitman College, Walla Walla, WA 99362

  • 3.

    Department of Mathematics, Missouri State University, Springfield, MO 65897

Received:  September 30, 2007
Revised:  October 31, 2007
Published:  May 2008
Abstract Related Papers Cited by
    Abstract
  • The dynamics of constant harvesting of a single species has been studied extensively within the framework of ratio-dependent predator-prey models. In this work, we investigate the properties of a Michaelis-Menten ratio-dependent predator-prey model with two nonconstant harvesting functions depending on the prey population. Equilibria and periodic orbits are computed and their stability properties are analyzed. Several bifurcations are detected as well as connecting orbits, with an emphasis on analyzing the equilibrium points at which the species coexist. Smooth numerical continuation is performed that allows computation of branches of solutions.
    Mathematics Subject Classification: Primary: 37N25; Secondary: 65L99.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(266) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences