Abstract
Sterile insect technique is one of the effective biological measures in mosquitoes control. Since mosquitoes fly around as we release sterile mosquitoes, the mosquito dispersals affect the effectiveness of the releases. To study the impact of mosquito dispersals, we formulate a simple two-patch model where sterile mosquitoes are released in only one of the two patches. We determine the threshold of releases such that the wild mosquitoes either go extinct or coexist with sterile mosquitoes. We then investigate the existence and stability of coexistent positive equilibria, and show that, in certain cases, multiple positive equilibria can exist. Numerical examples are also provided.
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