A control treatment for a stochastic epidemic model with relapse and Crowly–Martin incidence

Autor:	Idriss Sekkak, Regragui Taki, M. El Fatini, T. El Guendouz
Rok vydání:	2020
Předmět:	Lyapunov function Algebra and Number Theory Stochastic modelling Applied Mathematics Optimal control symbols.namesake Nonlinear system symbols Initial value problem Applied mathematics Geometry and Topology Uniqueness Epidemic model Analysis Mathematics Incidence (geometry)
Zdroj:	The Journal of Analysis. 29:713-729
ISSN:	2367-2501 0971-3611
DOI:	10.1007/s41478-020-00276-4
Popis:	In this paper, we study a stochastic epidemic model with relapse, non linear incidence and a random transmission rate. The existence, uniqueness and boundedness of a positive solution are proved for any positive initial value. Using the Lyapunov analysis, we investigate the asymptotic behaviour of the solution. Mainly, we give sufficient conditions for extinction and persistence of the disease. Then, we propose an optimal control for both deterministic and stochastic models. Finally, we give some numerical illustrations to demonstrate our analytical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3f427ceffd19d9c6a4fea981b680df04 https://doi.org/10.1007/s41478-020-00276-4 Zobrazit plný text záznamu Full text from SpringerLink