Discrete and Continuous Dynamical Systems - B · 2004 · 41 citations · 0 references
Veterinary MedicineInfectious DiseasesBiological Systems ModelingInfectious Disease EpidemiologyDisease ModelingDisease SpreadInfectious Disease DynamicsOrdinary Differential Equation ModelsReaction-diffusion SystemsTransmission DynamicsCoupled Reaction-diffusion EquationsDirect Contact TransmissionEpidemic ModelsIndirect TransmissionInfectious Disease ModelsMathematical Modeling Of EpidemicsReaction-diffusion EquationsReaction-diffusion Phenomena
We study the global existence and approximation of the solutionsto a reaction diffusion system coupled with an ordinary differential equationmodeling direct transmission between individuals and indirect transmissionvia a contaminated environment of an epidemic disease.