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http://dx.doi.org/10.12941/jksiam.2019.23.139

DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION  

SAMBATH, M. (DEPARTMENT OF MATHEMATICS, PERIYAR UNIVERSITY)
BALACHANDRAN, K. (DEPARTMENT OF MATHEMATICS, BHARATHIAR UNIVERSITY)
JUNG, IL HYO (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.23, no.2, 2019 , pp. 139-155 More about this Journal
Abstract
In this paper, we study the asymptotic behavior and Hopf bifurcation of the modified Holling-Tanner models for the predator-prey interactions in the absence of diffusion. Further the direction of Hopf bifurcation and stability of bifurcating periodic solutions are investigated. Diffusion driven instability of the positive equilibrium solutions and Turing instability region regarding the parameters are established. Finally we illustrate the theoretical results with some numerical examples.
Keywords
Holling-Tanner; Hopf bifurcation; Predator-prey model; Turing instability;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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