基于MATLAB的三种群食饵-捕食者模型数值解  

Numerical Solution of Bait-Predator Model Derived from Three Biological Populations Based on MATLAB

作　　者：山玉林[1] 唐家德[1] 

机构地区：[1]楚雄师范学院数学系,云南楚雄675000

出　　处：《兵工自动化》2007年第12期94-96,共3页Ordnance Industry Automation

摘　　要：基于MATLAB的植物、哺乳动物、爬行动物三种群食饵-捕食者模型数值求解,先建立描述三种群数量变化规律的微分方程模型,利用MATLAB求微分方程组的数值解,通过对数值结果和图形的观察,猜测其解析解的构造。最后对模型进行改进,求出三种群在同一环境里相互依存而共生的平衡点。Numerical solution of bait-predator model between plants, mammals, and reptiles is studied based on MATLAB. First establish a differential equation model to describe the numerical changes of three populations. Then the equations are solved by using MATLAB, through the numerical solution and the graph observation, guesses its analytic solution construction. Finally, the model is improved and obtained the equilibrium point of intergrowth and interdependent relation of three populations in the same environment.

关 键 词：种群 食饵-捕食者模型 数值解 平衡点 

分 类 号：O175.14[理学—数学]