Dynamic behavior of an SIR epidemic model along with time delay; Crowley-Martin type incidence rate and Holling type II treatment rate

DOI10.1515/ijnsns-2018-0208OpenAlexW2967224468WikidataQ127362272 ScholiaQ127362272MaRDI QIDQ2296134

Abhishek Kumar, Murray E. Alexander Nilam

Publication date: 17 February 2020

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0208

zbMATH Keywords

stabilitybifurcationcenter manifold theorydelayed SIR modelHolling type II treatment rateCrowley-Martin type incidence rate

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Simulation of dynamical systems (37M05) General biology and biomathematics (92B05)

Related Items (6)

Stability analysis of a logistic growth epidemic model with two explicit time-delays, the nonlinear incidence and treatment rates ⋮ A deterministic time-delayed SVIRS epidemic model with incidences and saturated treatment ⋮ Dynamic analysis of a stochastic epidemic model incorporating the double epidemic hypothesis and Crowley-Martin incidence term ⋮ Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional ⋮ Fractional order SIR epidemic model with Beddington-De Angelis incidence and Holling type II treatment rate for COVID-19 ⋮ Global dynamics and optimal control of multi-age structured vector disease model with vaccination, relapse and general incidence

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