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一类生物种群增长的数学模型解的稳定性分析
Stability analysis of solutions to the mathematical model describing A class of biomass increases
【摘要】 对种群服从Gompertz增长建立了的数学模型,分析和讨论了平衡点解的存在性、稳定性。并从生态学的角度阐述了我国像渔业、林业这样的再生资源,一定要注意适度开发,应该在持续稳产的前提下追求产量或效益的最优化,实现生物资源的可持续开发与利用。
【Abstract】 In this paper,existence and stability of solutions to the Gompertz mathematical model describing a class of biomass in equilibrium points are discussed.From points of ecology,it points out that regenerative resources like fisheries and forestry should be developed moderately to achieve optimization of input or benefit,moreover,sustainable developing and utilizing of biological resources.
【关键词】 Gompertz数学模型;
平衡点;
稳定性;
【Key words】 gompertz mathematical model; equilibrium points; stability;
【Key words】 gompertz mathematical model; equilibrium points; stability;
- 【文献出处】 长春工程学院学报(自然科学版) ,Journal of Changchun Institute of Technology(Natural Sciences Edition) , 编辑部邮箱 ,2006年03期
- 【分类号】O175.13;Q141
- 【被引频次】2
- 【下载频次】746