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EnglishWe 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.
http://hdl.handle.net/11697/11220| Titolo: | Global asymptotic stability for a vector disease model with spatial spread. |
| Autori interni: | MARCATI, PIERANGELO |
| Data di pubblicazione: | 1980 |
| Rivista: | JOURNAL OF MATHEMATICAL BIOLOGY |
| Abstract: | 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. |
| Handle: | http://hdl.handle.net/11697/11220 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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