A Comparative Stochastic and Deterministic Study of the Permanence of Malaria in a Class of Infectious Disease Models
Two families of malaria models are presented. The first family represents the dynamics of malaria in a nonrandom environment. In the second family, malaria spreads in a highly random environment with variability from the disease and transmission rates. The families of epidemic models are systems of ordinary and Ito-stochastic differential equations with random delays representing the delay times of disease incubation and acquired immunity. The permanence of malaria in both types of systems is established and compared to determine the effects of white noise on the permanence of disease. A numerical example is presented to compare the two situations.
38th Southern-Atlantic Regional Conference on Differential Equations
"A Comparative Stochastic and Deterministic Study of the Permanence of Malaria in a Class of Infectious Disease Models."
Mathematical Sciences Faculty Presentations.