![]() ![]() predator - prey system ( described by differential equations ) which may be. To solve such nonlinear systems, the best choice, in almost all cases is to use NDSolve to get numerical solutions. Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation. The equations and values for the different parameters are take from the document cited in the question. Step 2: Rewrite the differential equation and multiply both sides by: dP dt 0.2311P(1, 072, 764 P 1, 072, 764) dP 0.2311P(1, 072, 764 P 1, 072, 764)dt dP P(1, 072, 764 P) 0.2311 1, 072, 764dt. ![]() ![]() If there is something missing or physically incorrect then please feel free to edit and correct?Ĭredit goes to for pointing me in the right direction, which made me able to carry out correct graphical analysis of the model. bifurcation harvesting covid-19 periodic oscillation reproduction number stability polyharmonic operator dynamical system chaos embolism predator-prey. In my attempt to answer the OP's question, I have presented all most all the visuals/graphs which are important for the analysis of such models. where u1 and u2 stand for the densities of prey and predator population, respectively, 1, 2 stand for the catchability parameter, the effort applied to harvest the prey species. In the present paper, we shall consider how the natural growth rates of predator and prey affect the dynamical behavior of model system ().The main purpose of the paper is to show that possesses the NeimarkSacker bifurcation and chaos in the sense of Marotto. Without predators, population x grows over time without bounds. ![]()
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