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The Global Existence of Solutions for Predation Models with Tropism Item

Author: YueWei
Tutor: YangYin
School: Huazhong University of Science and Technology
Course: Applied Mathematics
Keywords: Chemotaxis phenomenon Sector operator Local Solutions Global Existence
CLC: O175
Type: Master's thesis
Year: 2011
Downloads: 10
Quote: 0
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Abstract


The Biomathematics was interdisciplinary between mathematics and biology , it is the use of mathematical methods to explore the problems of biology , and biology mathematical problems and theoretical research . The Biomathematics the main object of study is the ecosystem . individual organisms have the athletic ability to make the appropriate response to external environmental stimuli is a common phenomenon in the ecosystem . however when such a reaction caused by the movement of certain directional tendency is called common trend chemotaxis , aerotaxis haptotactic trend of light and other types . tendency not only of great theoretical significance , but also in real life there are more important practical significance , the frequent use of insect agriculture tends to certain types of attract chemicals habits and booby traps people hunting moths at night is to use a moth phototaxis . trend model was first established in 1970 , Keller-Segel this model has been recognized by many domestic and foreign scholars such models more and more in-depth . prey model of this study tend to take full account of the widespread concern sexual behavior , as we all know , the response behavior of organisms on the surrounding environment is one of the basic life behavior , consider tropism behavior is one of the important factors to accurately describe biological systems , this study has great practical significance . article focuses on the zone chemokines sex predator system first described the historical background of the problem and thesis preparation knowledge local Existence uniqueness . then use the contraction mapping principle . finally discuss the global existence of solution .

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