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The Researches On The Computer Modeling Experiment Of Population Intraspecific And Interspecific Competition

Posted on:2007-04-24Degree:MasterType:Thesis
Country:ChinaCandidate:H M LuoFull Text:PDF
GTID:2120360182994118Subject:Applied Mathematics
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Population dynamics is an important content in research on ecology. Factors that affect the fluctuating of populations are many, and time lag is one of them. This work systematically analyzed the theoretical mechanism and process of intra- and inter-specific competition. We established the intra- and inter-specific competition models with time lags and simulated it in computer;And we researched the role of time lag effects on one-species population fluctuating and its period, and on two-species competitive population;We analyzed specific examples. We mainly obtain the following conclusions:1), By simulating and studying the discrete and continuous intra-specific competition models with time lags, we find that: time lags are important factor that cause populations unstable. In general, the longer the time lags, the less stable the populations.2), By simulating and researching the following discrete models with time lags, we find that: the number of the populations' fluctuating period equates to 4T+2 (T is time lag), at the same time, we proved that our conclusion of the above is correct at T=1, 2.3), From the researching on intra-specific competition system with time lags, we can see that: the influence of time lags are very strong;With the increasing of time lags, large extent fluctuating will gradually arise for the number of populations;It is also possible that the periodical fluctuation of the system arise, therefore, the system will gradually become unstable. Seeing from the cases that the competition coefficients are all bigger than 1, we can know that, with the increasing of time lags, the strong population with big competition coefficients can also become weak population and fail to compete with its competitor.4), By researching two dominating sand-fixation plants in sand area, we established improved intra-specific competition model of plants;We calculated and numerically analyzed the specific examples;We demonstrated the role and process of intra-specific competition, and the mechanism of coexistence.The above results expand the theory of intra- and inter-specific competition, and the analyzed results of specific examples have application perspective in ecological recovering.
Keywords/Search Tags:time lag, competition, mathematics model, population dynam-ics, computer modeling experiment, discrete, continuous, stability
PDF Full Text Request
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