Hopf bifurcation and analysis of equilibrium for a third-order differential equation in a model of competition |
| |
| Authors: | Lorna S. Almocera Jing Zhujun Polly W. Sy |
| |
| Affiliation: | (1) Department of Mathematics, University of the Philippines, Diliman, Quezon City, Philippines;(2) Department of Mathematics, Hunan Normal University, 410081 Changsha, China;(3) Department of Mathematics, University of the Philippines, Diliman, Quezon City, Philippines |
| |
| Abstract: | ![]()
In this paper, a mathematical model of competition between plasmid-bearing and plasmidfree organisms in a chemostat with an inhibitor is investigated. The model is in the form of a system of nonlinear differential equations. By using qualitative methods, the conditions for the existence and local stability of the equilibria are obtained. The existence and stability of periodic solutions of the Hopf type are studied. Numerical simulations about the Hop f bifurcation value and Hopf limit cycle are also given. |
| |
| Keywords: | Chemostat competition local stability periodic solutions of the Hopf type |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
|
