江西科学Issue(6)：788-794,7.DOI:10.13990/j.issn1001-3679.2015.06.002
具有时滞的生态-流行病SI模型的稳定性和HoPf分支及其数值模拟
Stability and Hopf Bifurcation of an Eco-epidemiological SI Model with Delays and Numerical Simulation
摘要
Abstract
A delayed SI Predator-Prey ePidemiological system with disease sPreading in Prey PoPula-tion is considered in this PaPer. Using the method of characteristic equation the existence and stabili-ty of the equilibria are analyzed. Positive equilibrium is locally asymPtotically stable when time delayτ<τ0 . While a loss of stability by a HoPf bifurcation can occur as the delays increase. the results are showed by numerical simulation that the qualities of the Positive equilibrium are in accordance with the theory analysis.关键词
生态-流行病模型/渐近稳定/HoPf分支Key words
Predator-Prey model/asymPtotically stable/HoPf bifurcation分类
数理科学引用本文复制引用
赵红妮,窦霁虹..具有时滞的生态-流行病SI模型的稳定性和HoPf分支及其数值模拟[J].江西科学,2015,(6):788-794,7.基金项目
陕西省教育厅自然科学专项基金（11JK0511）。 （）
