Ross-Macdonald Models: Which one should be use?

APARICIO, JUAN PABLO

Talca

Congreso; XI Congreso Latinoamericano de Biología Matemática & 4° Workshop de Modelamiento Matemático de Sistemas Biológicos; 2021

Universidad Catolica del Maule

Ross-Macdonald models are the most used framework to model vector-bornedisease dynamics. Here we present different formulations of the Ross-Macdonaldmodel using systems of ordinary differential equations as well as individual based models.We compare the solutions using different 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 ($R_0$) 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.