<p style='text-indent:20px;'>In this paper, the nonlinear dynamics of a SIRS epidemic model with vertical transmission rate neonates, incidence and recovery are investigated. We focus on influence public available resources (especially number hospital beds) disease control transmission. The existence stability equilibria analyzed basic reproduction as threshold value. conditions for trans...

The paper mainly investigates a stochastic SIRS epidemic model with Logistic birth and nonlinear incidence. We obtain new threshold value (R0m) through the Stratonovich differential equation, different from usual basic reproduction number. If R0m<1, disease-free equilibrium of illness is globally asymptotically stable in probability one. R0m>1, disease permanent mean one has an endemic st...

We investigate the time evolution and steady states of the stochastic susceptible-infected-recovered-susceptible (SIRS) epidemic model on one- and two-dimensional lattices. We compare the behavior of this system, obtained from computer simulations, with those obtained from the mean-field approximation (MFA) and pair approximation (PA). The former (latter) approximates higher-order moments in te...

Abstract. We present in this paper an SIRS epidemic model with saturated incidence rate and disease-inflicted mortality. The Global stability of the endemic equilibrium state is proved by constructing a Lyapunov function. For the stochastic version, the global existence and positivity of the solution is showed, and the global stability in probability and pth moment of the system is proved under...

background: in recent years, there has been an increase in the amount and variety of data generated in the field of healthcare, (e.g., data related to the prevalence of contagious diseases in the society). various patterns of individuals’ relationships in the society make the analysis of the network a complex, highly important process in detecting and preventing the incidence of diseases. there...