We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Stability and Hopf Bifurcation in a Delayed SIS Epidemic Model with Double Epidemic Hypothesis.
- Authors
Jiangang Zhang; Yandong Chu; Wenju Du; Yingxiang Chang; Xinlei An
- Abstract
The stability and Hopf bifurcation of a delayed SIS epidemic model with double epidemic hypothesis are investigated in this paper. We first study the stability of the unique positive equilibrium of the model in four cases, and we obtain the stability conditions through analyzing the distribution of characteristic roots of the corresponding linearized system. Moreover, we choosing the delay as bifurcation parameter and the existence of Hopf bifurcation is investigated in detail. We can derive explicit formulas for determining the direction of the Hopf bifurcation and the stability of bifurcation periodic solution by center manifold theorem and normal form theory. Finally, we perform the numerical simulations for justifying the theoretical results.
- Subjects
EPIDEMIOLOGICAL models; HOPF bifurcations; STABILITY theory; COMPUTER simulation; DISTRIBUTION (Probability theory)
- Publication
International Journal of Nonlinear Sciences & Numerical Simulation, 2018, Vol 19, Issue 6, p561
- ISSN
1565-1339
- Publication type
Article
- DOI
10.1515/ijnsns-2016-0122