[PDF] Top 20 Stochastic Dynamics of Cholera Epidemic Model: Formulation, Analysis and Numerical Simulation

... deterministic model by fourth order Runge-Kutta ...of stochastic differential equations models fluctuate within the solutions of deterministic ...the model pa- rameters of SDEs are estimated by ... See full document

... the stochastic disease dynamics of SDE model (4), we have repeated the simulation 10,000 times, keeping the same parameters as in ...for model (4). And the numerical method for ... See full document

... the dynamics of cholera epidemic from which some models considered direct and indirect ...developed model is analysed by studying the stability of equilibrium ...the analysis shows that ... See full document

... This paper is organized as follows. In Section 2, we first introduce preliminary knowl- edge and give some notations and lemmas. Furthermore, we prove the existence of a global positive solution for the corresponding ... See full document

... threshold dynamics of an SIVS model with wan- ing vaccine-induced immunity and nonlinear ...a stochastic SIVS epidemic model with nonlinear saturated ...periodic stochastic SIVS ... See full document

... the stochastic disturbance. This implies that a stochastic disturbance has significant impact on the spread of infectious diseases and the larger stochastic disturbance leads to control the ... See full document

... of stochastic inequalities, we obtain sufficient conditions for the persistence in mean and extinction of the stochastic system and the threshold which governs the extinction and the spread of the ... See full document

... of stochastic differential equations ...the formulation of stochastic epidemic ...dengue model and equilibrium points. In Sect. 5, we explore the stochastic dengue ...different ... See full document

... Abstract: Cholera, an acute gastro-intestinal infection and a waterborne disease continues to emerge in developing countries and remains an important global health ...mathematical model that captures some ... See full document

... the epidemic dynamics of heroin ...the model proposed by White and Comiskey in [5] has stable steady ...the model in [5] to non-autonomous epidemic form, which was an improved version ... See full document

... the dynamics of the stochastic SI epidemic model for pest management con- cerning spraying pesticide and releasing natural ...the stochastic system is stochastically ...for ... See full document

... in cholera epidemic in Cote d’Ivoire, it is noteworthy to underline that the incidence of annual mortality rate per region were illustrated by Figure ... See full document

... disease model with a latent infection compartment, having a perturbation of the disease ...are stochastic models such as in [] and [] having latent infection com- partments, but with the stochastic ... See full document

... Kermark-Mckendrick model [1] is a SIR model for the number of people infected with infectious diseases in closed ...Kermark-Mckendrick model as ... See full document

... water. Cholera outbreaks are still a serious problem in other parts of the ...year. Cholera was first spread in Russia in 1817, after few years in Europe, and from Europe to North America and the rest of ... See full document

... the model are summarized in the following list: A: the recruitment rate of susceptibles corresponding to births and immigration; β: transmission coefficient between compartments S and ... See full document

... Essential details of the phase portrait are shown in Fig. 2b by an enlarged fragment of Fig. 2a. As one can see, there ex- ists a pseudo-separatrix (dashed red line) which divides two types of dynamics. If the ... See full document

... Plastic scintillators emit light in response to charged parti- cles, such as muons. The light signal is converted into an elec- trical signal with photo-sensors, such as photomultipliers, and can be subsequently ... See full document

... a numerical scheme based on the combination of 1D-IRBFNs collocation and SST for the analysis of visco-elastic fluid flows showed a significant improve- ment of the approximation accuracy owing to a ... See full document

... [2] Q. Liu, D. Jiang, N. Shi, T., Hayat, A. Alsaedi. Asymptotic behaviors of a stochastic delayed SIR epidemic model with nonlinear incidence. Commun. Nonlinear Sci. Numer. Simul., 40 (2016) 89-99. ... See full document