Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (6): 727-740.doi: https://doi.org/10.1007/s10483-009-0607-x
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Hui-Ling LI
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Abstract: Using finite differences and entropy inequalities, the global existence of weak solutions to a multidimensional parabolic strongly coupled prey-predator model is obtained. The nonnegativity of the solutions is also shown.
Key words: prey-predator model, strong cross-diffusion, entropy functional, existence of weak solutions, Orlicz space
2010 MSC Number:
35K55
35D05
92D25
Hui-Ling LI. Global existence of weak solutions to a prey-predator model with strong cross-diffusion. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 727-740.
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-009-0607-x
https://www.amm.shu.edu.cn/EN/Y2009/V30/I6/727
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