A Study of a Fractional-Order Cholera Model

Abstract

Abstract:In this work, we investigate the dynamical behavior of a fractional order cholera model. All the feasible equilibria for the system are obtained and the conditions for the existence of interior equilibrium are determined. Local stability analysis of the cholera model is studied by using the fractional Routh-Hurwitz stability conditions. Our results indicate the potential of fractional-order cholera models to cope with modern epidemics.

Fractional Order Model of Phytoplankton-toxic Phytoplankton-Zooplankton System

“…In [9,[24][25][26][27], the authors used a particular numerical scheme according to Atanackovic and Stankovich in [28,29]. This method is not proved to be convergent and deserves more study as already pointed out in [30].…”

Caputo fractional-order SEIRP model for COVID-19 Pandemic

“…Therein, the author considered rigorous qualitative analysis of the formulated mathematical model and also presented numerical simulations to confirm the obtained theoretical results. Javidi et al [75] extended and studied the cholera epidemic mathematical model formulated by the author in [76] to capture Caputo fractional order derivative. The author in [77] used Lyapunov functions that are of Volterra–type and investigated uniform asymptotic stability of some basic epidemic models (SIS, SIR, SIRS) and the well-known Ross vector-borne diseases in Caputo sense.…”

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“…Therein, the author considered rigorous qualitative analysis of the formulated mathematical model and also presented numerical simulations to confirm the obtained theoretical results. [53] [53] extended and studied the cholera epidemic mathematical model formulated by the author in [54] to capture Caputo fractional order derivative. The author in [55] used Lyapunov functions that are of Volterra-type and investigated uniform asymptotic stability of some basic epidemic models (SIS, SIR, SIRS) and the well-known Ross vector-borne diseases in Caputo sense.…”