A matrix model for studying tsetse fly populations |
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Authors: | M Jarry M Khaladi and J -P Gouteux |
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Institution: | (1) Département de Mathématiques Appliquées, URA-CNRS 1204, IPRA-UPPA, Avenue de l'Université, F-64000, Pau, France;(2) Department of Mathematics, Cadi Ayyad University, Marrakech, Morocco;(3) ORSTOM, Département de Mathématiques Appliquées, URA-CNRS 1204, IPRA-UPPA, Avenue de l'Université, F-64000 Pau, France |
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Abstract: | Some characteristics of tsetse fly population dynamics were investigated using a matrix model. To take into account the peculiarities of the tsetse fly life cycle, the classic Leslie model was modified. Our model integrated the physiological age group of Glossina females, the pupal and adult survival rate and the pupal life span. The limit of the growth rate was studied and the results were satisfactory when compared with data of tsetse fly mass rearing. The effect of adult and pupal survival rates on the growth rate was examined and confirmed the importance of adult survival. The sensitivity analysis showed that the growth rate was particularly sensitive to change in the survival rate of young nulliparous females. This matrix model, directly accessible to the experimenter, enhanced our understanding of tsetse population dynamics. |
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Keywords: | Diptera Glossinidae Glossina population dynamics matrix model growth rate tsetse |
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