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- W3101474048 abstract "Scientists have been seeking ways to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases? To answer this question mathematically, we develop a reaction-diffusion model with free boundary in a one-dimensional environment. We divide the female mosquito population into two groups: one is the uninfected mosquito population that grows in the whole region while the other is the mosquito population infected with Wolbachia that occupies a finite small region and invades the environment with a spreading front governed by a free boundary satisfying the well-known one-phase Stefan condition. For the resulting free boundary problem, we establish criteria under which spreading and vanishing occur. Our results provide useful insights on designing a feasible mosquito releasing strategy to invade the whole mosquito population with Wolbachia infection and thus eventually eradicate the mosquito-borne diseases." @default.
- W3101474048 created "2020-11-23" @default.
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- W3101474048 date "2020-01-01" @default.
- W3101474048 modified "2023-10-17" @default.
- W3101474048 title "A <i>Wolbachia</i> infection model with free boundary" @default.
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- W3101474048 doi "https://doi.org/10.1080/17513758.2020.1784474" @default.
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