Mathematical analysis and optimal control of a cholera epidemic in different human communities with individuals’ migration

Kokomo, Eric; Danhrée, Bongor; Emvudu, Yves

doi:10.1016/j.nonrwa.2020.103100

Cited by 6 publications

(2 citation statements)

References 13 publications

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“…The results show that control tools are good at curbing diseases' spread, but not eradicating it. Other similar excellent works can be found in the references [39][40][41][42][43][44][45].…”

Section: F S I Imentioning

confidence: 73%

Stability and optimal control strategy analysis for a class of SEIQR model with time delay on scale-free networks

Ma¹,

Wang²,

Cui³

2021

Phys. Scr.

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Numerous experiences in fighting epidemic diseases have revealed that isolation before treatment is an effective way to prevent the further spread of the epidemic, which scholars in current researches mostly ignore. Also, medical research shows that most infectious diseases have an incubation period, and the length of the incubation period will affect the final therapeutic effect. Therefore, in this paper, to deeply analyze the epidemic transmission with latency and quarantine states, we construct a class of health state-latent state -infected state-quarantined state-recovered state (SEIQR), epidemic model, with a power-law distribution of nodes based on considering the non-linear incidence formed by the psychological suppressor. Furthermore, the system's basic reproduction number R 0 and the equilibrium points' stability are discussed. The results show that R 0 depends on birth rate, death rate, recovery rate, vaccination rate, isolation rate, disease transmission rate, and network topology. Interestingly, the latency does not influence R . 0 And if < R 1, 0 system's disease-free equilibrium is global asymptotically stable, so is endemic equilibrium if > R 1.

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Section: F S I Imentioning

confidence: 73%

Stability and optimal control strategy analysis for a class of SEIQR model with time delay on scale-free networks

Ma¹,

Wang²,

Cui³

2021

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…The objective of this theory is to expound laws, for a model. These control laws will help to establish some specific criterion, for the underlying model [12,50,51]. Some efficient strategies in the form of 'Legislation' and 'Self Cure' will be explored.…”

Section: Study Of Controlled System Via Pontryagin's Maximum Principlementioning

confidence: 99%

Incorporating convex incidence rate and public awareness program in modelling drinking abuse and novel control strategies with time delay

et al. 2021

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In the recent past, a mathematical model has been formulated showing the impact of public health education campaigns and linear relapse on drinking abuse. The purpose of the present study is to provide a modified variant of this drinking abuse model. Hence, initially, our model incorporates a convex incidence rate, which will show the scenario that if an individual quits alcohol abuse and after a short interval he/she restarts alcohol use. In addition, it will examine the existence of Hopf bifurcation as well as study stability analysis and the time delay is used in the formulation of the delayed drinking model. Based on some auxiliary conditions, it is shown that the underlying model is globally asymptotically stable. Furthermore, to construct a controlled system, novel control variables have been introduced, and results related to controlling the abuse in society are carried out. Lastly, to show the authenticity of the obtained results, graphical representations are given for stability, instability and impact of the suggested control variables. In this research endeavour, we conclude that mathematical models are useful tools for knowing the dynamics of drinking abuse and for suggesting policy-makers towards more useful and feasible policies to contain this abuse.

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Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis

Jiang,

Zhang

2023

J. Appl. Math. Comput.

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Mathematical analysis and optimal control of a cholera epidemic in different human communities with individuals’ migration

Cited by 6 publications

References 13 publications

Stability and optimal control strategy analysis for a class of SEIQR model with time delay on scale-free networks

Stability and optimal control strategy analysis for a class of SEIQR model with time delay on scale-free networks

Incorporating convex incidence rate and public awareness program in modelling drinking abuse and novel control strategies with time delay

Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis

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