Global stability and vaccination of an SEIVR epidemic model with saturated incidence rate

DOI10.1142/S1793524516500686zbMath1342.92245OpenAlexW2291742240MaRDI QIDQ3188734

Sehra Khan, Yasir Khan, Muhammad Altaf Khan, Saeed Islam

Publication date: 12 August 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524516500686

zbMATH Keywords

global stabilitynumerical solutionvaccinationepidemic modelreproduction numberRouth-Hurwitz criteria

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23)

Related Items (5)

Global stability analysis of an SVEIR epidemic model with general incidence rate ⋮ Global dynamics of an age-structured viral infection model with general incidence function and absorption ⋮ A numerical method for solutions of Lotka–Volterra predator–prey model with time-delay ⋮ Mathematical modeling approach to the transmission dynamics of pine wilt disease with saturated incidence rate ⋮ A mathematical analysis of a tuberculosis epidemic model with two treatments and exogenous re-infection

Cites Work

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• On the dynamics of an SEIR epidemic model with a convex incidence rate
• Analysis and control of an SEIR epidemic system with nonlinear transmission rate
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• Stability analysis of a delayed SIR epidemic model with stage structure and nonlinear incidence
• Uniform persistence and flows near a closed positively invariant set
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Global asymptotic properties of an SEIRS model with multiple infectious stages
• Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
• Vaccination models and optimal control strategies to dengue
• Global analysis of multi-strains SIS, SIR and MSIR epidemic models
• Global stability of SEIVR epidemic model with generalized incidence and preventive vaccination
• Elements of Mathematical Ecology

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