一类具交错扩散的互惠模型的共存解

发布时间：2018-07-11 09:31

本文选题：互惠模型 + 交错扩散　；参考：《数学的实践与认识》2017年06期

【摘要】：研究了Dirichlet边界条件下具交错扩散的两种群互惠模型.采用上下解方法,结合Schauder不动点理论,给出了问题共存解存在的充分条件.进一步,利用单调迭代序列的方法构造出问题的共存解.结果表明,当交错扩散相对弱时,问题至少存在一共存解.
[Abstract]:A two-species reciprocal model with staggered diffusion under Dirichlet boundary condition is studied. By using the upper and lower solution method and the Schauder fixed point theory, a sufficient condition for the existence of the coexistence solution of the problem is given. Furthermore, the coexistence solution of the problem is constructed by means of monotone iterative sequence. The results show that there is at least one coexistence solution when the staggered diffusion is relatively weak.
【作者单位】：江苏理工学院数理学院;
【基金】：国家自然科学基金青年基金(11102076,11201406)
【分类号】：O175

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