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 |
| _version_ | 1878729280645496832 |
|---|---|
| author | Muroya, Y. |
| author2 | Bellen, A. Enatsu, Y. Nakata, Y. |
| author2_role | author author author |
| author_browse | Bellen, A. Enatsu, Y. Muroya, Y. Nakata, Y. |
| author_facet | Muroya, Y. Bellen, A. Enatsu, Y. Nakata, Y. |
| author_role | author |
| collection | BIRD. BCAM's Institutional Repository Data |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_04d4ece6e2d2b4f6d3d9e7aaf6d2ffb6 |
| institution | Basque Center for Applied Mathematics (BCAM) |
| instname_str | Basque Center for Applied Mathematics (BCAM) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:bird.bcamath.org:20.500.11824/417 |
| publishDate | 2012 |
| publishDateSort | 2012 |
| reponame_str | BIRD. BCAM's Institutional Repository Data |
| spelling | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population Muroya, Y. Bellen, A. Enatsu, Y. Nakata, Y. Epidemic model Global asymptotic stability Heterogeneous host Latency Lyapunov functional Permanence 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. http://hdl.handle.net/20.500.11824/417 |
| spellingShingle | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population Muroya, Y. Epidemic model Global asymptotic stability Heterogeneous host Latency Lyapunov functional Permanence |
| status_str | publishedVersion |
| title | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population |
| title_full | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population |
| title_fullStr | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population |
| title_full_unstemmed | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population |
| title_short | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population |
| title_sort | Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population |
| topic | Epidemic model Global asymptotic stability Heterogeneous host Latency Lyapunov functional Permanence |
| topic_facet | Epidemic model Global asymptotic stability Heterogeneous host Latency Lyapunov functional Permanence |
| url | http://hdl.handle.net/20.500.11824/417 |