Dynamics of a stage-structured leslie-gower predator-prey model

Hai Feng Huo, Xiaohong Wang, Carlos Castillo-Chavez

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A generalized version of the Leslie-Gower predator-prey model that incorporates the prey population structure is introduced. Our results show that the inclusion of (age) structure in the prey population does not alter the qualitative dynamics of the model; that is, we identify sufficient conditions for the trapping of the dynamics in a biological compact setalbeit the analysis is a bit more challenging. The focus is on the study of the boundedness of solutions and identification of sufficient conditions for permanence. Sufficient conditions for the local stability of the nonnegative equilibria of the model are also derived, and sufficient conditions for the global attractivity of positive equilibrium are obtained. Numerical simulations are used to illustrate our results.

Original languageEnglish (US)
Article number149341
JournalMathematical Problems in Engineering
Volume2011
DOIs
StatePublished - 2011

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Stage-structured
Predator-prey Model
Sufficient Conditions
Prey
Age Structure
Population Structure
Boundedness of Solutions
Global Attractivity
Permanence
Local Stability
Trapping
Inclusion
Non-negative
Computer simulation
Numerical Simulation
Model

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Dynamics of a stage-structured leslie-gower predator-prey model. / Huo, Hai Feng; Wang, Xiaohong; Castillo-Chavez, Carlos.

In: Mathematical Problems in Engineering, Vol. 2011, 149341, 2011.

Research output: Contribution to journalArticle

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