Spectral properties with application to epidemic models
| Autor: | Cantó Colomina, Begoña, Coll, Carmen, Pagán Moreno, Mª Jesús, Poveda-Giner, Joan Josep, Sánchez, Elena |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia instname |
| Popis: | [EN] In this paper, we address our study to analyze diseases whose transmission occurs through a contaminated environment. Moreover, the individuals are organized in compartments by age range. This epidemiological process with indirect transmission of the disease has a mathematical representation by means of a nonlinear discrete-time invariant system. A strategy to act when the system is unstable is proposed. As a consequence of it, the new system is N-periodic and its stability is given by the monodromy matrix of the system. The above matrix analysis is applied to establish some conditions over the number of steps that we can be without action and being the epidemiological process asymptotically stable. The authors would like to thank the referees and the editor for their comments and useful suggestions for improvement of the manuscript. This research was partially supported by Spanish Grant MTM2013-43678-P. |
| Databáze: | OpenAIRE |
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