Exploring threshold dynamics of a behavioral epidemic model featuring two susceptible classes and second-order jump–diffusion

Sabbar, Yassine

doi:10.1016/j.chaos.2024.115216

Chaos, Solitons & Fractals

2024

DOI: 10.1016/j.chaos.2024.115216

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Exploring threshold dynamics of a behavioral epidemic model featuring two susceptible classes and second-order jump–diffusion

Yassine Sabbar

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2024

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Cited by 2 publications

References 23 publications

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The influence of independent jumps on the dynamics of a perturbed SIRS epidemic model with altered behavior

Sabbar,

Raezah

2024

Int. J. Dynam. Control

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The influence of independent jumps on the dynamics of a perturbed SIRS epidemic model with altered behavior

Sabbar,

Raezah

2024

Int. J. Dynam. Control

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Modeling mosquito-borne disease dynamics via stochastic differential equations and generalized tempered stable distribution

Sabbar,

Raezah

2024

MBE

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<p>In this study, we introduce an enhanced stochastic model for mosquito-borne diseases that incorporates quarantine measures and employs Lévy jumps with the generalized tempered stable (GTS) distribution. Our proposed model lacks both endemic and disease-free states, rendering the conventional approach of assessing disease persistence or extinction based on asymptotic behavior inapplicable. Instead, we adopt a novel stochastic analysis approach to demonstrate the potential for disease eradication or continuation. Numerical examples validate the accuracy of our results and compare the outcomes of our model with the GTS distribution against the standard system using basic Lévy jumps. By accounting for the heavy-tailed nature of disease incidence or vector abundance, the GTS distribution enhances the precision of epidemiological models and predictions.</p>

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Exploring threshold dynamics of a behavioral epidemic model featuring two susceptible classes and second-order jump–diffusion

Cited by 2 publications

References 23 publications

The influence of independent jumps on the dynamics of a perturbed SIRS epidemic model with altered behavior

The influence of independent jumps on the dynamics of a perturbed SIRS epidemic model with altered behavior

Modeling mosquito-borne disease dynamics via stochastic differential equations and generalized tempered stable distribution

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