IJPAM: Volume 105, No. 4 (2015)

PREDATOR-PREY MODEL FOR ANALYSIS OF
AEDES AEGYPTI POPULATION DYNAMICS
IN CALI, COLOMBIA

Juddy H. Arias$^1$, Hector J. Martinez$^2$,
Lilian S. Sepulveda$^3$, Olga Vasilieva$^4$
$^{1,2,4}$Universidad del Valle
Cali, COLOMBIA
$^2$Universidad Autonoma de Occidente
Cali, COLOMBIA


Abstract. In this paper, we introduce a predator-prey model to analyze the population dynamics of the Aedes aegypti mosquito which is fairly blamed for the transmission of dengue in Cali, Colombia. The model describes an interaction of an aquatic predacious species deliberately introduced into local mosquito breeding habitat, where the Aedes aegypti immature stages (eggs, larvae, and pupae) are already present and constitute the prey population. The model also accounts for local population of adult female mosquitoes (or mature stage) emerging from the breeding site. This population is considered as a target for reduction by deploying an adequate predacious species since only female mosquitoes are held responsible for transmission of dengue and other vector-borne diseases. Having analyzed the model, we have derived the mosquito survival threshold with predation as a function of predator's biological characteristics. The model's parameters were adjusted to the average seasonal temperatures of Cali, Colombia and explicit conditions for biological characteristics of prospective efficient predators were established. Numerical simulation with introduction of an efficient predacious species in local mosquito breeding habitats revealed the possibility of eventual mosquito extinction in such localities. Finally, some particular biological species were proposed as potential candidates for efficient predators.

Received: April 29, 2015

AMS Subject Classification: 92D25, 93D20, 34A34

Key Words and Phrases: Aedes aegypti, biological control, immature and mature stages, predator-prey system, mosquito survival threshold

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DOI: 10.12732/ijpam.v105i4.2 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 4
Pages: 561 - 597


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