Open AccessMathematical analysis of a triple age dependent epidemiological model with including a protection strategy
Author(s) -
Fatima Zohra Hathout,
Tarik Mohammed Touaoula,
Salih Djilali
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2022048
Subject(s) - population , computer science , mathematics , medicine , environmental health
In this research, we consider the influence of protection measures on the spread of infectious diseases in an age-structured population. Protection strategy can take different forms as isolation, treatment, or renewable vaccine; to mathematically represent it, we include a new compartment p standing for protected individuals, in a classical age structured si model. Global analysis of the proposed model is made by the introduction of total trajectories and a suitable Lyapunov functional. We give a particular importance to the protection strategy and many numerical simulations are provided to illustrate our theoretical results.