Purpose of this work is to construct a model infection spread in the form lattice probabilistic cellular automata, which takes into account inertial nature transmission between individuals. Identification relationship spatial and temporal dynamics depending on probability migration Methods. The numerical simulation stochastic automata by Monte Carlo method. Results. A modified SIRS+V epidemic c...

This paper analyses an SIRS epidemic model with the vaccination of susceptible individuals and treatment infectious ones. Both actions are governed by a designed control system whose inputs subpopulations model. In addition, proportion newborns is considered. The reproduction number Rc controlled calculated, its influence in existence stability equilibrium points studied. If such smaller than t...

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which decisions population strategically interacting agents determine transmission rate. Specifically, population’s recurrently revise their choices out set strategies that impact varying levels A payoff vector quantifying incentives provided by planner for each strategy, after de...

Systemic inflammatory response syndrome (SIRS) is associated with the development of severe medical complications, including progression to multiple organ dysfunction syndrome and even death. To date, only marginal improvements in terms of therapeutic options have been established for patients affected by SIRS. Raf kinase inhibitor protein (RKIP) is a regulator of MAPK and NF-κB signaling casca...

Infection associated with systemic inflammatory response syndrome (SIRS) is a major cause of morbidity and mortality in patients with major surgery, polytrauma, and severe burn injury. In previous studies, mice with severe pancreatitis (a mouse model of SIRS, SIRS mice) have been shown to be greatly susceptible to various infections. In the present study, a mechanism involved in the impaired re...

In this paper, a five–dimensional mathematical model is proposed for the transmission dynamics of HIV/AIDS within a population of varying size. In writing the model, we have divided the population under consideration into five sub classes of susceptible, infective, pre-AIDS, AIDS related complex and that of AIDS patients. The model has two non- negative equilibria namely, a disease free and the...