Population and Individual Based Ross-Macdonald Models: Which one should we use?

APARICIO JUAN PABLO; SIMOY MARIO IGNACIO

Talca, Chile

Congreso; XI Congreso Latinoamericano de Biología Matemática; 2019

Sociedad Latinoamericana de Biología Matemática

Ross-Macdonald models are the most used framework to model vector-borne disease dynamics. Here we present dierent formulations of the Ross-Macdonald model using systems of ordinary diferential equations as well as individual based models. We compare the solutions using diferent distributions for the infectious and latency periods using statistics, like the epidemic peak, or epidemic final size, to characterize the epidermic curves. The basic reproduction number (R0) for each formulation is computed and compared with empirical estimations obtained with the individual based models. The importance of considering the latency period distribution, as well as the use of realistic distributions for the infectious periods is demonstrated and discussed