Eco-Epidemiological Models – Ancient to Modern Era

Abstract

The population dynamics is one of the important fields of mathematical biology. Thomas Malthus was the first researcher in this field. His idea that population growth rate is directly proportional to its current size seems to be fairly true. Later on Pierre-Francois Verhulst, a Belgian Mathematician extended the Malthusian model by considering the fact that populations suffer internal competition and this competition in fact effects their growth. Later on, in the twenties of the past century, the revolutionary work by Lotka and Volterra extended the mathematical modeling to the prey-predator interactions. A variety of models have been formed on disease caused by pathogens. The present study is an attempt to study some ecological models along with epidemiological models.