| Colloquium |
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| Date |
2024-11-21 16:10-17:00 |
| Place |
Mathtmatics Building 1F Classroom 3174 |
| Speaker |
Professor Feng-Bin Wang(Division of Natural Science, Center for General Education, Chang Gung University, Taiwan) |
| Title |
Spatial Dynamics of a Partially Degenerate Reaction-Diffusion System with Pair Formation and Mating Behavior |
| Abstract |
This talk is devoted to the investigation of the mosquito growth incorporating metamorphic stages (including aquatic stage and adult stage), mating behavior and the spatial movement of adult mosquitoes in a seasonal environment. Our model is a reaction-diffusion system governing the dynamics of the aquatic mosquitoes, the matured male mosquitoes, and matured female mosquitoes. We first establish that the threshold dynamics of the governing system in a bounded habitat can be determined by the basic reproduction ratio of mosquitoes, which is defined by a time-periodic homogeneous evolution system without compactness. For the propagation phenomena, we further establish the existence of the spreading speeds and its coincidence with the minimal speed of almost pulsating waves for a time-space periodic reaction-diffusion model. The spreading speed for the autonomous case can be investigated quantitatively. |
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