Global dynamics of a differential-difference system: a case of Kermack-McKendrick SIR model with age-structured protection phase

DOI10.3934/mbe.2020067zbMath1470.92273OpenAlexW2990575682WikidataQ90792446 ScholiaQ90792446MaRDI QIDQ2045781

Abdennasser Chekroun, Mostafa Adimy, Cláudia Pio Ferreira

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020067

zbMATH Keywords

Lyapunov functionalbasic reproduction numberlocal and global stabilitySIR epidemic modeldelay differential-difference systemage-structured PDE

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability theory of functional-differential equations (34K20) Stability theory for difference equations (39A30)

Related Items (11)

EFFECT OF TREATMENT AND PROTECTION MEASURES ON THE OUTBREAK OF INFECTIOUS DISEASE USING AN SIR EPIDEMIC MODEL WITH TWO DELAYS, DISCRETE AND DISTRIBUTED ⋮ Global proprieties of a delayed epidemic model with partial susceptible protection ⋮ Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay ⋮ Global asymptotic stability for a distributed delay differential–difference system of a Kermack–McKendrick SIR model ⋮ Global asymptotic stability of a hybrid differential-difference system describing SIR and SIS epidemic models with a protection phase and a nonlinear force of infection ⋮ Long time behaviour for a mixed reaction-diffusion-difference problem with distributed delay and non-local term ⋮ Efficiency of protection in the presence of immigration process for an age-structured epidemiological model ⋮ Global stability of a SEIR discrete delay differential‐difference system with protection phase ⋮ Traveling waves of a differential-difference diffusive Kermack-McKendrick epidemic model with age-structured protection phase ⋮ Mathematical analysis of a triple age dependent epidemiological model with including a protection strategy ⋮ Mathematical analysis and global dynamics for a time-delayed Chronic Myeloid Leukemia model with treatment

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