Bifurcations in an epidemic model with constant removal rate of the infectives |
| |
Authors: | Wendi Wang Shigui Ruan |
| |
Institution: | a Department of Mathematics, Southwest Normal University, Chongqing, 400715, PR China b Department of Mathematics, The University of Miami, PO Box 249085, Coral Gables, FL 33124-4250, USA |
| |
Abstract: | An epidemic model with a constant removal rate of infective individuals is proposed to understand the effect of limited resources for treatment of infectives on the disease spread. It is found that it is unnecessary to take such a large treatment capacity that endemic equilibria disappear to eradicate the disease. It is shown that the outcome of disease spread may depend on the position of the initial states for certain range of parameters. It is also shown that the model undergoes a sequence of bifurcations including saddle-node bifurcation, subcritical Hopf bifurcation, and homoclinic bifurcation. |
| |
Keywords: | Epidemic Constant removal rate Bifurcation Global analysis Limit cycle |
本文献已被 ScienceDirect 等数据库收录! |
|