The distribution of rainfall is one of the factors which contribute to the development of Aedes aegypti life cycle. The fluctuation of rainfall might influence the acceleration of Aedes aegypti growth and at same time influence the increase of dengue cases. Many types of mosquitoes strictly need water to lay their eggs therefore in this research, the egg number of Aedes aegypti mosquito was simulated by using stagestructured matrix model. The development of egg numbers were associated with rainfall distribution and mosquito life cycle which consist of egg, larva, pupa, and adult. A stage-structured Lefkovitch matrix model was used for the simulation. An egg hatching function depends on rainfall was one significant parameter rate of matrix model which affect the whole mosquito life cycle. The graphical results were shown to illustrate the relationship between the rainfall and egg number. We found that there was a significant relation between the rainfall, and egg number. However, it is recommended to look for more possible factors such as size of opening container, humidity and temperature which contribute to the development of mosquito in order to acquire more accurate results.
Aedes aegypti is primary vector of Zika virus, dengue, and chikungunya which go through four different stages of life cycle: Egg, Larva, Pupa, and Adult. The mosquito might be able to lay 100 eggs at a time. The eggs can hatch when there is water and submerged in the water, but it can survive without water almost to 8 months by sticking to the walls of a container. In this research, the trend of egg hatching was simulated by using a stage-structured Lefkovitch matrix model. The matrix model consists of a function of egg hatching which associated and depends on rainfall distribution. The purpose of the function is to identify the relationship between egg hatching and rainfall which provide water to egg. Using the same mathematical model, the population of adult Aedes aegypti has also simulated which the population related to egg simulation and rainfall. The graphical results were shown to illustrate the relationship between the rainfall, egg number and adult Aedes aegypti. We found that there was a significant relationship between the rainfall and these two stages of mosquito life cycle which are egg hatching number and adult Aedes aegypti. However, it is recommended to look for more possible factors such as the size of an opening container and humidity which possible to contribute to the development of mosquito to acquire more accurate results. Contribution/Originality:The study contributes in the existing literature which stated that both factor rainfall and temperature involved in the development of mosquito life cycle. We found that, the rainfall distribution factor is the most significant to identify the trend of development of mosquitos' population and meanwhile the factor of temperature influences more on the increase of dengue virus transmission. body and legs. The infected female Aedes aegypti can spread dengue virus mainly through the bites [2]. The transmission occurs when the mosquito bites a person who already gets infected by dengue fever and the virus will
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