Global asymptotic stability for a vector disease model with spatial spread
Copyright policy )Global asymptotic stability for a vector disease model with spatial spread
We analyze the global behaviour of a vector disease model which involves spatial spread and hereditary effects. This model can be applied to investigate growth and spread of malaria. No immunization is considered. We prove that, if the recovery rate is less than or equal to a threshold value, the disease dies out, otherwise the infectious people density tends to a homogeneous distribution. Our results follow using contracting convexes techniques and agree with the results given by K. L. Cooke for the model without diffusion.
- University of L'Aquila Italy
- University of Trento Italy
asymptotic stability, Stability theory of functional-differential equations, Stability theory for integral equations, Partial functional-differential equations, spread of malaria, vector disease model, Semigroups of nonlinear operators, Disease Vectors, Models, Biological, Malaria, partial delay differential equation, Integro-partial differential equations, Population dynamics (general), Iterative procedures involving nonlinear operators, contracting convexes, Communicable Disease Control, Animals, Humans, Functional-differential equations in abstract spaces, Mathematics
asymptotic stability, Stability theory of functional-differential equations, Stability theory for integral equations, Partial functional-differential equations, spread of malaria, vector disease model, Semigroups of nonlinear operators, Disease Vectors, Models, Biological, Malaria, partial delay differential equation, Integro-partial differential equations, Population dynamics (general), Iterative procedures involving nonlinear operators, contracting convexes, Communicable Disease Control, Animals, Humans, Functional-differential equations in abstract spaces, Mathematics
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