两种生物相互作用的反应扩散模型及解的讨论

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On the Solution of Two Co-Affected Spedies

摘要: 本文讨论和年龄有关的两种生物相互作用的反应扩散模型,其中出生率函数具有指数衰减特征,文中引进了与资源环境有关的环境因子α_i,及可控生育参数β_i,并运用构造上、下解的方法研究了该模型解的存在性、唯一性及平衡解的局部渐近稳定性,研究发现,在其它参数相对稳定的情况下,生育参数β_i的大小决定了种群发展的趋势。
- 出生率函数 /
- 死亡率函数 /
- 反应扩散方程 /
- 上、下解
Abstract: This paper discusses a model of two coeffected species with diffusion system,where the birth functions have the characteristic index decline, and then the eircumstance factors α_i which are connected with natural resources, and the birth parameters β_i which could be controlled are introduced.By means of the upper-lowersolutions,the existence,uniqueness and the local stability of equilibrium solution of the moel are discussed.It's discovered that the birth parameters β_i determine the developing tendency when other parameters are comparatively stable.
- birth function /
- dead function /
- effection-diffusion equation /
- upper-lower solutions

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