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The aim of this paper is to investigate the role of plankton populations in the aquatic reservoir on the transmission dynamics of acute cholera within the human communities. To this, we develop a nonlinear six dimensional mathematical model that combines the plankton populations with the epidemiological SIR-type human subpopulations and the V. cholerae bacterial population in the aquatic reservoir. It is assumed that the susceptible humans become infected either by ingesting zooplankton, which serves as a reservoir for the cholera pathogen, by free-living V. cholerae in the water, or by cholera-infected individuals. We explore the existence and stability of all biologically plausible equilibria of the system. Also, we determine basic reproduction number (R 0) and introduced an additional threshold, named planktonic factor (E 0), that is found to significantly affect the cholera transmission. Furthermore, cholera-free equilibrium encounters transcritical bifurcation at R 0 = 1 within the planktonic factor's unitary range. We perform some sensitivity tests to determine how the epidemic thresholds R 0 and E 0 will respond to change in the parametric values. The existence of saddle–node bifurcation is shown numerically. Our findings reveal that there are strong connections between the planktonic blooms and the cholera epidemic. We observe that even while eliminating cholera from the human population is very difficult, we may nevertheless lessen the epidemic condition by enhancing immunization, treatment and other preventive measures. [ABSTRACT FROM AUTHOR]

A novel reaction diffusion model is proposed, in this paper, to consider the impacts on the spatially heterogeneity, horizontal and environmental transmission, incomplete immunity and exposed individuals on the spread and control of Cholera. Firstly, the existence of the solution of this model, the boundedness and the existence of the global attractor are investigated. The basic reproduction number R 0 of model is further defined, and then the threshold results of its global dynamics are established based on R 0. In particular, we analyze the asymptotic behavior of the steady state when the diffusion rate is small or large in susceptible and exposed individuals. With the help of numerical simulations, we found that the spread of susceptible individuals does not change the spatial distribution of the disease and the local epidemic risk level during the spread of the disease in different regions, while the spread of exposed individuals has an important effect on the spatial distribution of the infected population. • A reaction diffusion model with spatial heterogeneity and multi-pathways is proposed. • The global asymptotic stability of disease-free steady state iss obtained. • The uniform persistence of disease is investigated. • The asymptotic behavior of endemic steady state is analyzed. [ABSTRACT FROM AUTHOR]