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• W4285192613 abstract "<p style='text-indent:20px;'>This paper is devoted to investigate the existence of traveling wave solutions for a partially degenerate <i>Aedes aegypti</i> model with nonlocal effects. By taking specific kernel forms and time scale transformation, we transform the nonlocal model into a singularly perturbed system with small parameters. A locally invariant manifold for wave profile system is obtained with the aid of the geometric singular perturbation theory, and then the existence of traveling wave solutions is proved provided that the basic reproduction number <inline-formula><tex-math id=M1>begin{document}$ mathcal{R}_0&gt;1 $end{document}</tex-math></inline-formula> through utilizing the Fredholm orthogonal method. Furthermore, we study the asymptotic behaviors of traveling wave solution with the help of asymptotic theory. The methods used in this work can help us overcome the difficulty that the solution map associated with the system is not compact. Numerically, we perform simulations to demonstrate the theoretical results.</p>" @default.
• W4285192613 created "2022-07-14" @default.
• W4285192613 creator A5070826510 @default.
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• W4285192613 date "2023-01-01" @default.
• W4285192613 modified "2023-09-25" @default.
• W4285192613 title "Geometric singular perturbation of a nonlocal partially degenerate model for <i>Aedes aegypti</i>" @default.
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• W4285192613 doi "https://doi.org/10.3934/dcdsb.2022122" @default.
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