Existence of Classical Solutions to a Strongly Coupled Predator-Prey Model

李成林

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Existence of Classical Solutions to a Strongly Coupled Predator-Prey Model

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- Existence of Classical Solutions to a Strongly Coupled Predator-Prey Model
- 强耦合捕食系统古典解的存在性
- Vol. 34, Issue 2, Pages: 98-102(2013)
- 作者机构：
  
  1. 西南大学数学与统计学院
  2. 保山学院数学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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李成林. Existence of Classical Solutions to a Strongly Coupled Predator-Prey Model[J]. 2013, 34(2): 98-102.
DOI：

李成林. Existence of Classical Solutions to a Strongly Coupled Predator-Prey Model[J]. 2013, 34(2): 98-102. DOI：

摘要

研究了在Neumann边界条件及反应函数功能性Ⅱ下带有自扩散和食饵趋向的捕食系统.对食饵趋向引入"Volume-Filling"机制

引入函数的Banach空间

定义了范数.应用压缩原理

H·lder连续

抛物方程Schauder估计及Lp估计

证明了此系统古典解的局部存在唯一性

并对其建立了先验估计

再把局部解延拓为全局解.

Abstract

Predator-prey model with self-diffusion and prey-taxis incorporating Holling type Ⅱ functional response was dealt with under homogeneous Neumann boundary condition."volume-filling" mechanism and Banach space were introduced

norm was defined.By applying the contraction mapping principle

the H·lder continuity

the parabolic Schauder estimates and parabolic Lp estimates

it proves that there exists a unique global classical solution of this system and establishs a priori estimate

then extends the local solution to a global solution.

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references

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Tao Y.Global existence of classical solution to apredator-prey model with nonlinear prey-taxis[J].Nonlinear Analysis:Real World Applications,2010,11:2056-2064.

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