Qualitative analysis on a reaction-diffusion model arising from population dynamics
作者：
Highlights：
• A spatially inhomogeneous model with mixed functional responses is introduced.
• Blow-up phenomenon of the unique solution cannot occur in finite time.
• Combination of mixed functional responses has key impacts on the coexistence of species.
• There are two thresholds such that the species can coexist.
• Growth rate and predation behavior both have positive effects on preserving biodiversity.
摘要
•A spatially inhomogeneous model with mixed functional responses is introduced.•Blow-up phenomenon of the unique solution cannot occur in finite time.•Combination of mixed functional responses has key impacts on the coexistence of species.•There are two thresholds such that the species can coexist.•Growth rate and predation behavior both have positive effects on preserving biodiversity.
论文关键词：Reaction-diffusion model,Coexistence,Stability,Uniqueness,Fixed point index
论文评审过程：Received 25 January 2022, Revised 12 April 2022, Accepted 23 April 2022, Available online 6 May 2022, Version of Record 6 May 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127203
