Analysis Dynamics Two Prey of a Predator-Prey Model with Crowley–Martin Response Function

نویسندگان

چکیده

The predator-prey model has been extensively developed in recent research. This research is an applied literature study with a proposed dynamics using the Crowley–Martin response function, namely development of Beddington-DeAngelis function. aim this to construct mathematical model, equilibrium analysis and population trajectories analysis. results showed that produced seven non-negative points, but only one point was tested for stability. Stability produces negative eigenvalues indicating fulfillment Routh-Hurwitz criteria so locally asymtotically stable. Analysis stability indicates stable growth over long period time. Numerical simulation also given see movement. first prey second not much different, significant occurs at beginning period, while after reaching peak trajectory slopes towards point. Different shown by predator population, which grows linearly predators very because have freedom eat resources. Various types patterns ecological parameters show good assumptions.

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ژورنال

عنوان ژورنال: JTAM (Jurnal Teori dan Aplikasi Matematika)

سال: 2023

ISSN: ['2597-7512', '2614-1175']

DOI: https://doi.org/10.31764/jtam.v7i3.14506