Open Conference Systems, MISEIC 2019

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A Mathematical Model of Mosquito Growth with Wolbachia and Biolarvacide Effect
Zendri Setiawan Dasopang

Last modified: 2019-07-10

Abstract


Mosquitoes are insects that is belonging to the order of Diptera. Mosquitoes are commonly known as the vector of some diseases, such as dengue hemorrhagic fever, malaria and filariasis. These diseases are transmitted by different or similar types of mosquitoes. Mosquitoes are a type of insect that has a complete metamorphosis, which consists of eggs, larvae, pupa, and adult mosquitoes. The growth of mosquitoes infected with viruses can be suppressed through various types of interventions, one of which is by sowing wild mosquitoes with mosquitoes infected with the Wolbachia bacteria and by using environmentally friendly biolarvacide.

 

In this talk, we constructed models of mosquito growth with the effect of Wolbachia bacteria and biolarvacide using the approach of SI (Mosquito)-B (Biolarvacide) model. In this case of the growth of mosquitoes that have been infected with Wolbachia, the female parents of mosquitoes that have been infected will have Wolbachia transmission to their offspring and will be intervened again with the presence of biolarvacide to reduce the growth of the mosquito. In this paper we also discussed about the analytical and numerical analysis on deciding equilibrium points, basic offspring and criteria of equilibrium occurence with depend on some parameters.


Keywords


Mosquitoes, wolbachia, biolarvasida, SI-B model, equilibrium point, basic reproduction number