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Farshid, Marzieh, Jalilian, Yaghoub. (1402). Steady state bifurcation in a cross diffusion prey-predator model. سامانه مدیریت نشریات علمی, 11(2), 254-262. doi: 10.22034/cmde.2022.52663.2213
Marzieh Farshid; Yaghoub Jalilian. "Steady state bifurcation in a cross diffusion prey-predator model". سامانه مدیریت نشریات علمی, 11, 2, 1402, 254-262. doi: 10.22034/cmde.2022.52663.2213
Farshid, Marzieh, Jalilian, Yaghoub. (1402). 'Steady state bifurcation in a cross diffusion prey-predator model', سامانه مدیریت نشریات علمی, 11(2), pp. 254-262. doi: 10.22034/cmde.2022.52663.2213
Farshid, Marzieh, Jalilian, Yaghoub. Steady state bifurcation in a cross diffusion prey-predator model. سامانه مدیریت نشریات علمی, 1402; 11(2): 254-262. doi: 10.22034/cmde.2022.52663.2213

Steady state bifurcation in a cross diffusion prey-predator model

Computational Methods for Differential Equations
مقاله 4، دوره 11، شماره 2، تیر 2023، صفحه 254-262    اصل مقاله (287.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.52663.2213
نویسندگان
Marzieh Farshid؛ Yaghoub Jalilian*
Department of Mathematics, Razi University, Kermanshah, Iran.
چکیده
In this paper, we study the bifurcation of nontrivial steady state solutions for a cross-diffusion prey-predator model with homogeneous Neumann boundary conditions. The existence of positive steady state solutions near a bifurcation point is proved using a crossing curve bifurcation theorem. We consider a situation where the transversality condition is not satisfied. Unlike the case in saddle-node bifurcation, the solution set is a pair of transversally intersecting curves.
کلیدواژه‌ها
Steady state bifurcation؛ Cross diffusion؛ Prey-predator model
مراجع
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