Global Stability Analysis of Logistically Grown SIR Model with Loss of Immunity, Inhibitory Effect, Crowding Effect and its Protection Measure

• Autorzy: Ghosh U. , Sarkar S.

Identyfikatory

DOI

10.12921/cmst.2016.0000071

• Języki publikacji: EN

Abstrakty

EN

In this paper we have considered an SIR model with logistically grown susceptible in which the rate of incidence is directly affected by the inhibitory factors of both susceptible and infected populations and the protection measure for the infected class. Permanence of the solutions, global stability and bifurcation analysis in the neighborhood of equilibrium points has been investigated here. The Center manifold theory is used to find the direction of bifurcations. Finally numerical simulation is carried out to justify the theoretical findings.

Słowa kluczowe

EN

inhibition effect; Hopf bifurcation; logistic growth rate; loss immunity; normal forms; center manifold theory

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2018
• Tom: Vol. 24, No. 2
• Strony: 125--141
• Opis fizyczny: Bibliogr. 40 poz., rys.

Twórcy

autor

Ghosh U.

• Department of Applied Mathematics, University of Calcutta, Kolkata, India

autor

Sarkar S.

• Department of Applied Mathematics, University of Calcutta, Kolkata, India

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).