Spreading Speeds of Time-Dependent Partially Degenerate Reaction-Diffusion Systems

• 作者: Jia LIU
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 79-94
• 页数: 16页
• 语种: 英文
• DOI: 10.1007/s11401-022-0306-9

摘要

This paper is concerned with the spreading speeds of time dependent partially degenerate reaction-diffusion systems with monostable nonlinearity.By using the principal Lyapunov exponent theory,the author first proves the existence,uniqueness and stability of spatially homogeneous entire positive solution for time dependent partially degenerate reaction-diffusion system.Then the author shows that such system has a finite spreading speed interval in any direction and there is a spreading speed for the partially degenerate system under certain conditions.The author also applies these results to a time dependent partially degenerate epidemic model.