[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2018.25.4.345

PHASE ANALYSIS FOR THE PREDATOR-PREY SYSTEMS WITH PREY DENSITY DEPENDENT RESPONSE

Chang, Jeongwook (Department of Mathematics Education, Dankook University)
Shim, Seong-A (Department of Mathematics, Sungshin women's University)

Publication Information

The Pure and Applied Mathematics / v.25, no.4, 2018 , pp. 345-355 More about this Journal

Abstract

This paper looks into phase plane behavior of the solution near the positive steady-state for the system with prey density dependent response functions. The positive invariance and boundedness property of the solution to the objective model are proved. The existence result of a positive steady-state and asymptotic analysis near the positive constant equilibrium for the objective system are of interest. The results of phase plane analysis for the system are proved by observing the asymptotic properties of the solutions. Also some numerical analysis results for the behaviors of the solutions in time are provided.

Keywords

phase plane; density dependent response; existence properties of a positive steady-state; asymptotic properties;

Citations & Related Records

Reference

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