Por favor, use este identificador para citar o enlazar este ítem:
http://cimat.repositorioinstitucional.mx/jspui/handle/1008/731| Control Policies and Vector Behavioral Effects in Modeling Vector-Host Interactions: Novel Applications for Cutaneous Leishmaniasis in Peru | |
| ROCIO MARILYN CAJA RIVERA | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| MATÉMATICAS APLICADAS | |
| An appreciation of the the dynamics of cutaneous leishmaniasis, a vector-borne microparasite disease in Peru is the focus of this doctoral dissertation.Specifically, this research is concentrated on vectors behavior, its modeling, its mathematical analysis and control measures suggested for public health. This work is based on using and deploying mathematical methods, computational techniques, and epidemiological approaches to gain insight into control policies and vector-host interactive behaviors. Control policies in public health are not used properly in poor communities of developing countries for controlling the spread of neglected vector-borne diseases. These vector-borne diseases include leishmaniasis, dengue, chagas, malaria and others. A basic model for the transmission dynamics between vectors and hosts, with extrinsic incubation period in vectors, is designed first. This vector-host model proves evidence that a backward bifurcation can occur under certain conditions. The traditional control measures for vector-borne diseases, as well as any other illnesses, suggests reducing the basic reproduction number R_0 below the value one. This strategy is not sufficient when a backward bifurcation occurs. Modeling cutaneous leishmaniasis with Peru as a specific example is relevant because this neglected disease is causing thousands of cases annually. Parameters for the cutaneous leishmaniasis model in Peru are collected from the empirical studies of Peruvian entomologists. These parameters are collected from the information provided by the Ministry of Health of Peru (MINSA) and collected from the information provided by the Statistics National Institute of Peru (INEI). The uncertainty of the parameters suggests that we cannot guarantee the avoidance of a backward bifurcation range. It is important to be attentive to the appearance of phenomena that could make eradication more difficult. Local and global sensitivity analyses agree that R_0is most sensitive to the number of bites by a female sandfly and its natural mortality rate. The former dependency suggests verypractical control policies. Moreover, the first model is extended to a second model that includes intrinsic incubation in hosts and vector feeding preferences for carrier hosts. Analysis of the model reveals the following novel results. Vector feeding preference for carrier hosts plays an important role for the existence of the endemic equilibria and the existence of the backward bifurca | |
| 01-02-2018 | |
| Tesis de doctorado | |
| OTRAS | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Tesis del CIMAT |
Cargar archivos:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| TE 653.pdf | 25.69 MB | Adobe PDF | Visualizar/Abrir |