Speakers
Description
Modeling with reaction-diffusion systems involves constituents locally transformed into each other by chemical reactions and transported in space by diffusion. With this in mind, the attention to mathematical and disease epidemiology has increased, as disease epidemics have become a predominant worldwide health issue. The cases of V. Cholerae and Malaria are no different. Factors that affect the transmission of such diseases include mainly both human and environmental factors.
Proposing a Reaction-Diffusion SIR-B mathematical model for Cholera and an SEIR mathematical model of Malaria epidemiology with proliferate stability analysis on the epidemic and endemic equilibrium, that incorporates an environmental reservoir in both cases, is formulated to capture the movement of human hosts and host organisms in a heterogeneous environment.
Findings here are supported by the results of numerical experiments and based on these results, an evolutionary process that involves organism distribution and their interaction of spatially distributed population with local diffusion is presented.
Results show that the model dynamics exhibit a diffusion-controlled formation of different patterns which attribute diffusion has a great influence on the spread of the disease.
