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A Class Of Population Simulation Model

Posted on:2005-02-18Degree:MasterType:Thesis
Country:ChinaCandidate:C L GuoFull Text:PDF
GTID:2190360122497304Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The Penna model of biological aging is based upon asexual reproduction. The Penna bit-string model for biological aging was published in 1995. And since then it has been increasingly used to study different characteristics for real populations (as northern cod off Newfoundland and Alaska wolf) and sexual reproduction.To imitating Penna model of the computer simulation, some scholars attempt to portray this model the mathematics theory. But it is very complicated to describe simpler primitive Penna model through the mathematics theory, and the received results are more unskillful than the results of computer simulation. Now there are no useful theories to describe other more complicated Penna.In chapter three the author introduces some mathematical models about two populations and three populations, and set up the simulation model of the species about resource competition based on primitive Penna model. And through the simulation of this model for similar two populations, find the final result of the competition depends on the ability of existence that they are in alone system and comparatively population.In this paper, based on familial life style of the white-headed leaf monkey, male reproduction tactics of invasion and infanticide behavior, we use bit-string model to describe individuals and to set up the simulation model to simulate the evolve of the white-headed leaf monkey population. Results indicate that male invasion of the white-headed leaf monkey reproduction tactics will cause extinction of this population, and infanticide behavior accelerates the speed of extinction. Besides, the improvement of the environment, especially the enlargement of the habitat, can continue the surviving time of population effectively. But this effect not enough to make this species not extirpate, just gives chance to evolve out the new reproduction tactics at the time.
Keywords/Search Tags:Penna model, Monte Carlo simulation, Mathematical model, Population model
PDF Full Text Request
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