On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems

Belgaid, Youcef; Helal, Mohamed; Lakmeche, Abdelkader; Venturino, Ezio

doi:10.1007/978-3-030-73241-7_12

Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells 2021

DOI: 10.1007/978-3-030-73241-7_12

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On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems

Youcef Belgaid

Mohamed Helal

Abdelkader Lakmeche

et al.

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2021

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Analysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis

Handari¹,

Aldila²,

Dewi³

et al. 2021

MBE

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<abstract><p>We developed a new mathematical model for yellow fever under three types of intervention strategies: vaccination, hospitalization, and fumigation. Additionally, the side effects of the yellow fever vaccine were also considered in our model. To analyze the best intervention strategies, we constructed our model as an optimal control model. The stability of the equilibrium points and basic reproduction number of the model are presented. Our model indicates that when yellow fever becomes endemic or disappears from the population, it depends on the value of the basic reproduction number, whether it larger or smaller than one. Using the Pontryagin maximum principle, we characterized our optimal control problem. From numerical experiments, we show that the optimal levels of each control must be justified, depending on the strategies chosen to optimally control the spread of yellow fever.</p></abstract>

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Analysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis

Handari¹,

Aldila²,

Dewi³

et al. 2021

MBE

View full text Add to dashboard Cite

show abstract

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On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems

Cited by 1 publication

References 9 publications

Analysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis

Analysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis

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