Demography in epidemics modelling

Classical models of epidemics by Ross and McKendrick haveto be revisited in order to take into account the demography (fecundity, mortality and migration) both of host and vector populations and also the diffusion and mutation of infectious agents.The classical models are supposing the populations involved in the infectious disease to be constant during the epidemic wave, but the presently observed pandemics show that the duration of theirspread during months or years imposes to take into account the host and vector population changes, and also the transient or permanent migration and diffusion of hosts (susceptible or infected), as wellas those of vectors and infectious agents. One example is presented concerning the malaria in Mali.