Influence of the motion of individuals on the evolution of a SIRS epidemy

G. J. SIBONA; F. PERUANI; G. R. TERRANOVA

Santiago

Simposio; BIOMAT 2011 International Symp. on Mathematical and Comp. Biology; 2011

Universidad de Talca

P { margin-bottom: 0.21cm; direction: ltr; color: rgb(0, 0, 0); line-height: 115%; widows: 2; orphans: 2; }P.western { font-family: "Calibri",sans-serif; font-size: 11pt; }P.cjk { font-family: "Calibri",sans-serif; font-size: 11pt; }P.ctl { font-family: "Times New Roman",serif; font-size: 11pt; }   In this work we analyze the influence of movement in the propagation of diseases exhibiting a SIRS dynamics. The infection process take place on a system of self-propelled agents moving on a plane and interacting through volume exclusion. The disease transmission depends on the time elapsed during the physical contact between a healthy agent and an infected one.   The model allows us to explore the effect of the individuals space dynamics from non-spatial and lattice models, and from diffusive movement to ballistic. We show that the population dynamics can be described by mean-field approaches, and give expressions for the endemic states which are highly dependent on the spatial agent kinetic. In particular we study the role of agent velocity and motion direction change rate in the mean collision time, which is the key parameter for the disease transmission, and then of importance to control the disease.