This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information campaign, direct contacts between unaware and aware individuals, and reported cases of infection. It is assumed that there is some time delay between individuals becoming aware and modifying their behaviour. Vaccination is administered to newborns, as well as to aware individuals, and it is further assumed that vaccine-induced immunity may wane with time. Feasibility and stability of the disease-free and endemic equilibria are studied analytically, and conditions for the Hopf bifurcation of the endemic steady state are found in terms of system parameters and the time delay. Analytical results are supported by numerical continuation of the Hopf bifurcation and numerical simulations of the model to illustrate different types of dynamical behaviour.
机构:
Univ Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, MoroccoUniv Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, Morocco
Abta, Abdelhadi
Laarabi, Hassan
论文数: 0引用数: 0
h-index: 0
机构:
Univ Hassan II Mohammedia, Fac Sci Ben Msik, Dept Math & Informat, Casablanca 150, MoroccoUniv Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, Morocco
Laarabi, Hassan
Alaoui, Hamad Talibi
论文数: 0引用数: 0
h-index: 0
机构:
Univ Chouaib Doukkali, Fac Sci, Dept Math & Informat, El Jadida 20, MoroccoUniv Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, Morocco
机构:
Univ Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, MoroccoUniv Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, Morocco
Abta, Abdelhadi
Laarabi, Hassan
论文数: 0引用数: 0
h-index: 0
机构:
Univ Hassan II Mohammedia, Fac Sci Ben Msik, Dept Math & Informat, Casablanca 150, MoroccoUniv Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, Morocco
Laarabi, Hassan
Alaoui, Hamad Talibi
论文数: 0引用数: 0
h-index: 0
机构:
Univ Chouaib Doukkali, Fac Sci, Dept Math & Informat, El Jadida 20, MoroccoUniv Cadi Ayyad, Fac Polydisciplinaire, Dept Math & Informat, Safi 4162, Morocco