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• W4382777670 startingPage "14438" @default.
• W4382777670 abstract "<abstract><p>Vaccination programs are crucial for reducing the prevalence of infectious diseases and ultimately eradicating them. A new age-structured SEIRV (S-Susceptible, E-Exposed, I-Infected, R-Recovered, V-Vaccinated) model with imperfect vaccination is proposed. After formulating our model, we show the existence and uniqueness of the solution using semigroup of operators. For stability analysis, we obtain a threshold parameter $ R_0 $. Through rigorous analysis, we show that if $ R_0 &lt; 1 $, then the disease-free equilibrium point is stable. The optimal control strategy is also discussed, with the vaccination rate as the control variable. We derive the optimality conditions, and the form of the optimal control is obtained using the adjoint system and sensitivity equations. We also prove the uniqueness of the optimal controller. To visually illustrate our theoretical results, we also solve the model numerically.</p></abstract>" @default.
• W4382777670 created "2023-07-02" @default.
• W4382777670 creator A5012925571 @default.
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• W4382777670 date "2023-01-01" @default.
• W4382777670 modified "2023-09-27" @default.
• W4382777670 title "Optimal control and stability analysis of an age-structured SEIRV model with imperfect vaccination" @default.
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• W4382777670 doi "https://doi.org/10.3934/mbe.2023646" @default.
• W4382777670 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/37679143" @default.
• W4382777670 hasPublicationYear "2023" @default.
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