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

Mathematical Biosciences & Engineering, Journal Year: 2024, Volume and Issue: 9(8), P. 22454 - 22485

Published: Jan. 1, 2024

<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 lacks both endemic disease-free states, rendering conventional approach of assessing disease persistence or extinction based on asymptotic behavior inapplicable. Instead, adopt a novel analysis to demonstrate potential eradication continuation. Numerical examples validate accuracy our results compare outcomes GTS distribution against standard system using basic jumps. By accounting heavy-tailed nature incidence vector abundance, enhances precision epidemiological models predictions.</p>

Language: Английский

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

International Journal of Dynamics and Control, Journal Year: 2024, Volume and Issue: 13(1)

Published: Nov. 11, 2024

Language: Английский

State-Constrained Optimal Control of a Coupled Quasilinear Parabolic System Modeling Economic Growth in the Presence of Technological Progress

Applied Mathematics & Optimization, Journal Year: 2024, Volume and Issue: 91(1)

Published: Dec. 29, 2024

Language: Английский