This article is cited in 4 papers

Computer science

An epidemic model of malaria without and with vaccination. Pt 2. A model of malaria with vaccination

S. M. Ndiaye, E. M. Parilina

St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation

Abstract: The article proposes a mathematical model of a malaria epidemic with vaccination in a population of people (hosts), where the disease is transmitted by a mosquito (carrier). The malaria transmission model is defined by a system of ordinary differential equations, which takes into account the level of vaccination in the population. The host population at any given time is divided into four subgroups: susceptible, vector-bitten, infected, and recovered. Sufficient conditions for the stability of a disease-free equilibrium and endemic equilibrium are obtained using the theory of Lyapunov functions. Numerical modeling represents the influence of parameters (including the vaccination level of the population) on the disease spread.

Keywords: epidemic model, malaria, vaccination, SEIR model, endemic equilibrium.

UDC: 51.7

MSC: 92D30

Received: August 15, 2022
Accepted: September 1, 2022

DOI: 10.21638/11701/spbu10.2022.410