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Discrete-Time S-E-I-S Models with Exogerous Re-infection and Dispersal between Two Patches

Typically, for an epidemic to occur, infectious individuals have to generate at least one secondary infection before they die or recover (R0 >1). A simple model is introduced where epidemics are possible when R0 <1. Models with varying levels of complexity in the population dynamics are introduced and the question of whether or not they force or drive disease epidemic patterns is analyzed in a single and multiple patch system connected by dispersal. Interaction of this sort between patches can disrupt the initial one patch disease dynamics; for example, dispersal can cause a disease-free equilibrium where otherwise there would be none.

Article Number:
BU-1533-M

Year:
2000

Authors:
Rogelio Arreola, University of California at Irvine
Aldo Crossa, Wittenberg University, Springfield
Maria Cristina Velasco, Universidad del Valle, Cali, Colombia
Project supervisor: Abdul-Aziz Yakubu, Howard University

discrete_time_seis_models_with_exogenous_reinfection_and_dispersal_between_two_patches.pdf