Mathematical model of Ebola and Covid-19 with fractional differential operators: Non-Markovian process and class for virus pathogen in the environment

Zhang, Zizhen; Jain, Sonal

doi:10.1016/j.chaos.2020.110175

Cited by 33 publications

(14 citation statements)

References 12 publications

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“…Lam et al [40] wrote a letter for controlling the simultaneous outbreak of dengue and COVID-19 in Singapore. Doungmo et al in [41] discussed the coinfection of HIV with the COVID-19 based on a mathematical model, and Hezam in [42] combined the COVID-19 model and the unemployment problem, while Zhang and Jain in [43] investigated the transmission of the Ebola and the Covid-19 viruses.…”

Section: Introductionmentioning

confidence: 99%

A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen

2021

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In this work, we propose a new dynamic mathematical model framework governed by a system of differential equations that integrates both COVID-19 and cholera outbreaks. The estimations of the model parameters are based on the outbreaks of COVID-19 and cholera in Yemen from January 1, 2020 to May 30, 2020. Moreover, we present an optimal control model for minimizing both the number of infected people and the cost associated with each control. Four preventive measures are to be taken to control the outbreaks: social distancing, lockdown, the number of tests, and the number of chlorine water tablets (CWTs). Under the current conditions and resources available in Yemen, various policies are simulated to evaluate the optimal policy. The results obtained confirm that the policy of providing resources for the distribution of CWTs, providing sufficient resources for testing with an average social distancing, and quarantining of infected individuals has significant effects on flattening the epidemic curves.

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Section: Introductionmentioning

confidence: 99%

A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen

2021

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“…In recent years, many researchers have studied the systems of differential equations with fractional operators [ 13 – 15 ]. The epidemic models involving a fractional operator were also investigated by many authors because they deeply show biological and physical perspectives of the diseases [ 16 , 17 ].…”

Section: Introductionmentioning

confidence: 99%

Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis

Alqahtani

2021

Adv Differ Equ

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In this paper, we study and analyze the susceptible-infectious-removed (SIR) dynamics considering the effect of health system. We consider a general incidence rate function and the recovery rate as functions of the number of hospital beds. We prove the existence, uniqueness, and boundedness of the model. We investigate all possible steady-state solutions of the model and their stability. The analysis shows that the free steady state is locally stable when the basic reproduction number $R_{0}$ R 0 is less than unity and unstable when $R_{0} > 1$ R 0 > 1 . The analysis shows that the phenomenon of backward bifurcation occurs when $R_{0}<1$ R 0 < 1 . Then we investigate the model using the concept of fractional differential operator. Finally, we perform numerical simulations to illustrate the theoretical analysis and study the effect of the parameters on the model for various fractional orders.

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“…Different mathematical paradigms are utilized for simulating COVID-19 transition (see for instance, [49] , [50] , [51] , [52] , [53] , [54] , [55] ). More information and applications of fractional calculus can be found in [56] , [57] , [58] , [59] .…”

Section: Introductionmentioning

confidence: 99%