A nonautonomous epidemic model with general incidence and isolation

Abstract

Abstract. We obtain conditions for eradication and permanence of infection for a nonautonomous SIQR model with time-dependent parameters, that are not assumed to be periodic. The incidence is given by functions of all compartments and the threshold conditions are given by some numbers that play the role of the basic reproduction number. We obtain simple threshold conditions in the autonomous, asymptotically autonomous and periodic settings and show that our thresholds coincide with the ones already established. Additionally, we obtain threshold conditions for the general nonautonomous model with mass-action, standard and quarantine-adjusted incidence.

The global dynamics for a stochastic SIS epidemic model with isolation

“…The various types of classical epidemic models with quarantine/isolation have been investigated in many articles. See, for example [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the references cited therein.…”

Stability Research of an SEIR Model with Distinct General Contact Rates and Infectious Force in Latent and Recovered Period

“…Compared with bilinear and standard incidence rate, saturating incidence rate may be a better fit for our actual situation. Several authors have studied epidemic models with saturation incidence rate [25][26][27][28][29] . In this paper, we introduce the general contact rate ( ) N SI  into the infec-tious disease model, which is more extensive.…”

“…In this paper, motivated by the work of Refs. [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], we study an SEIR epidemic model with different general contact rates, which also has the infectious force in the exposed and recovered period. In Section 1, we formulate an SEIR model with different general contact rates, which also has the infectious force in the exposed and recovered period.…”