Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method and by applying a Lyapunov function technique, which is a discrete version o...
| Authors: | ; ; ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2012 |
| Country: | España |
| Institution: | Basque Center for Applied Mathematics (BCAM) |
| Repository: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/417 |
| Online Access: | http://hdl.handle.net/20.500.11824/417 |
| Access Level: | Open access |
| Keyword: | Epidemic model Global asymptotic stability Heterogeneous host Latency Lyapunov functional Permanence |
| Summary: | In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method and by applying a Lyapunov function technique, which is a discrete version of that in the paper by Prss et al. [J. Prss, L. Pujo-Menjouet, G.F. Webb, R. Zacher, Analysis of a model for the dynamics of prions, Discrete Contin. Dyn. Syst. Ser. B 6 (2006) 225235]. It is shown that the global dynamics of this discrete epidemic model with latency are fully determined by a single threshold parameter. |
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