About feedback vaccination rules for a true-mass action-type SEIR epidemic model

Abstract

This paper relies on a vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The control objective is to asymptotically track the removed-by-immunity population to the total population while achieving simultaneously the remaining population (i.e. susceptible plus infected plus infectious) to asymptotically converge to zero.

Free Optimal Time Control Problem for a SEIR-Epidemic Model with Immigration of Infective

“…In such a SEIR-model, N is the total population, µ is the rate of deaths from causes unrelated to the infection, ω is the rate of losing immunity, β is the transmission constant (with the total number of infections per unity of time at time t being β S(t)I(t) N ), σ −1 and γ −1 are, respectively, the average duration of latent and infective periods, see [3] and [5]. All the above parameters are assumed to be nonnegative.…”

A nonlinear SEIR epidemic model with feedback vaccination control

“…The study of mathematical epidemic models provides a good way of understanding, predicting and even managing through prophylaxis the outbreak of a disease in any population, human or non-human, which impact in cost reduction and economy savings [4][5][6][7][8][9]. Although conventional epidemiology has used continuous models [5,[7][8][9][10][11][12][13][14][15][16][17][18][19], partially because of the mathematical analysis is simpler, there are some advantages on applying discrete models [20][21][22][23], as the data from the subpopulation are not instantly obtained, and the possible actions Manuscript made in order to restrain the disease may require certain time to be accomplished. A simple SEIR model is proposed and discussed in this paper based on previous models [9,11,24,25].…”