Title : Global bounded solution of the higher-dimensional forager-exploiter model with/without growth sources
Speaker: Prof. Mingxing Wang (Harbin Institute of Technology)
Time: Sat, Sep.12 2020,AM:10:00-11:00
Location: Tencent Conference
Meeting Number: 833 956 220
Inviter: Prof. Haiyang Jin
Abstract:
This talk concerns with the global existence and boundedness of classical solution of the higher-dimensional forager-exploiter model with homogeneous Neumann boundary condition and nonnegatuve initial data. For cases where there are no forager and exploiter growth sources, it will be shown that if either the initial data and the productionrate rate of nutrient are small,or taxis effects are small, then the classical solution exists globally and is bounded. For cases where there is only forager growth source, when n=2,it will be shown that if the taxis effect of exploiter is small then the classical solution exists globally and is bounded. For cases with forager and exploiter growth sources, when n=2 we find a condition for the logistic degradation rates that ensures the global existence and boundednes of the classical solution.