Add to ORKGIn this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model possesses and unique global positive solution. Next, by means of the Lyapunov method, we determine some sufficient criteria for the extinction of the disease and its persistence. In addition, we establish the existence of a unique stationary distribution to our model. Finally, we provide some numerical simulations for the stochastic model to assist and show the applicability and efficiency of our results.Ministerio de Ciencia, Innovación y Universidades (MICINN). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER
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This work is devoted to investigate the existence and uniqueness of a global positive solution for a...
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We begin with a brief introduction to the history of epidemic models, both deterministic and stochas...
One of the most tools for describing the incubation period in the epidemiological dynamic models is...
AbstractIn this paper, we present a DI SIR epidemic model with two categories stochastic perturbatio...
This work examines a stochastic viral infection model with a general distributed delay. We transform...
This article is a total of 20 pages and contains 5 figures.In this paper, we consider a stochastic e...
A stochastic SIR epidemic dynamic model with distributed-time-delay, for a two-scale dynamic populat...
In this paper, the dynamical behavior of a delayed SIQR stochastic epidemic model with Lévy noise is...
An SIS epidemic model with time delay and stochastic perturbation on scale-free networks is establis...
In this paper, we analyze a stochastic SIR epidemic model in a constant population with a relapse an...
In this paper we extend the classical susceptible-infected-susceptible epidemic model from a determi...
In this paper, we introduce two perturbations in the classical deterministic susceptible–infected–su...
Public health science is increasingly focusing on understanding how COVID-19 spreads among humans. F...
In this paper, deterministic and stochastic SEIRI epidemic models featuring a distributed latent per...
This work is devoted to investigate the existence and uniqueness of a global positive solution for a...
Résumé. En épidémiologie le retard joue un rôle très important dans la représentation de la p...
We begin with a brief introduction to the history of epidemic models, both deterministic and stochas...
One of the most tools for describing the incubation period in the epidemiological dynamic models is...
AbstractIn this paper, we present a DI SIR epidemic model with two categories stochastic perturbatio...