水稻与水竹叶竞争系统的稳定性研究
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摘要
文章通过选取江西地区生存在同一片水稻田中的水稻和水竹叶为研究对象.在生态系统中,当两种群生存在相同环境下时,彼此间会争夺资源、养分,从而产生竞争关系.我们以此建立数学模型,在理想的情况下,对模型中的平衡点进行稳定性研究,证明此系统存在平衡点,经Matlab软件进行数值模拟,证实结果与理论分析相吻合.
In this paper,rice and bamboo leaves living in the same paddy field injiangxi province were selected as research objects.In an ecosystem,when two species live in the same environment,they will compete for resources and nutrients,thus resulting in a competitive relationship.We use this to establish a mathematical model,in the ideal case,the equilibrium point in the model stability research,prove the existence of the equilibrium point of the system,numerical simulation by matlab software,confirmed that the results are consistent with the theoretical analysis.
In this paper,rice and bamboo leaves living in the same paddy field injiangxi province were selected as research objects.In an ecosystem,when two species live in the same environment,they will compete for resources and nutrients,thus resulting in a competitive relationship.We use this to establish a mathematical model,in the ideal case,the equilibrium point in the model stability research,prove the existence of the equilibrium point of the system,numerical simulation by matlab software,confirmed that the results are consistent with the theoretical analysis.
引文
[1]马知恩,周义仓.常微分方程定性与稳定性方法[M].北京:科学出版社,2001
[2]马知恩.种群生态学的数学建模与研究[M].合肥:安徽教育出版社,1996
[3]尚玉昌.普通生态学[M].北京:北京大学出版社,2002
[4]刘旭阳.生物数学与生态数学模型[J].湖北大学学报,1996,18(1):1-6
[5]毛凯,李日华.种群竞争的稳定性分析[J].生物数学学报,1994,14(3):288-292
[2]马知恩.种群生态学的数学建模与研究[M].合肥:安徽教育出版社,1996
[3]尚玉昌.普通生态学[M].北京:北京大学出版社,2002
[4]刘旭阳.生物数学与生态数学模型[J].湖北大学学报,1996,18(1):1-6
[5]毛凯,李日华.种群竞争的稳定性分析[J].生物数学学报,1994,14(3):288-292