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Dynamic System Simulation of Predator-Prey Interactions

This presentation explores a mathematical model of predator-prey interactions, focusing on the dynamics of a species' population over time. Using the equations provided for derivatives of populations, we simulate the interactions between two species: the prey (x) and the predator (y). By adjusting parameters such as the birth rate and death rate, we investigate how varying conditions affect the stability of the system. Visualizations illustrate the population changes and equilibrium points, providing insights into ecological dynamics.

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Dynamic System Simulation of Predator-Prey Interactions

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  1. %% PPLANE file %% H.name = 'ex3.pps'; H.xvar = 'x'; H.yvar = 'y'; H.xder = 'x*(x-0.2)*(1-x)-x*y'; H.yder = 'x*y-b*y-d'; H.pname = {'d','','b','','',''}; H.pval = {'0','','1','','',''}; H.fieldtype = 'lines'; H.npts = 20; H.wind = [-1 1 -1 1];

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