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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
  • [1] Q. Cao and J. Wu, Bifurcation solutions in the diffusive minimal sediment, Computers and Mathematics with Applications, 77 (2019), 888–906.
  • [2] M. G. Crandall and P. H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues ,and linearized stability, Arch.Ration. Mech. Anal., 52 (1973), 161–180.
  • [3] X. Feng, C. Li, H. Sun, and Y. Wang, Global Bifurcation Structure of a Predator-Prey System with a Spatial Degeneracy and BD Functional Response, Complexity, 2021 (2021).
  • [4] L. Kong and F. Lu, Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis, Computers and Mathematics with Applications, 78 (2019), 191–203.
  • [5] Y. Jia, Y. Li, and J. Wu, Qualitative analysis on positive steady-states for an autocatalytic reaction model in thermodynamics, Discrete and Continuous Dynamical Systems, 37 (2017), 4785.
  • [6] C. Li, On global bifurcation for a cross-diffusion predator-prey system with prey-taxis, Computers and Mathematics with Applications, 76 (2018), 1014–1025.
  • [7] S. Li, J. Wu, and Y. Dong, Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme, Journal of Differential Equations, 259 (2015), 1990–2029.
  • [8] S. Li, J. Wu, and H. Nie, Steady-state bifurcation and Hopf bifurcation for a diffusive Leslie-Gower predator-prey model, Computers and Mathematics with Applications, 70 (2015), 3043–3056.
  • [9] P. Liu and J. Shi, Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition, Journal of Differential Equations 264 (2018), 425–454.
  • [10] R. Memarbashi, A. Ghasemabadi, and Z. Ebadi, Backward bifurcation in a two strain model of heroin addiction, Computational Methods for Differential Equations 10 (2022), 656–673.
  • [11] K. Oeda and K. Kuto, Positive steady states for a prey-predator model with population flux by attractive transition, Nonlinear Analysis: Real World Applications, 44 (2018), 589–615.
  • [12] M. R. Patel, J. U. Pandya, and V. K. Patel, Numerical analysis of fluid flow behavior in two sided deep lid driven cavity using the finite volume technique, Computational Methods for Differential Equations, (2022).
  • [13] R. R. Patra, S. Kundu, and S. Maitra, Effect of delay and control on a predator-prey ecosystem with generalist predator and group defence in the prey species, The European Physical Journal Plus, 137 (2022), 28.
  • [14] M. Rudziva, O. A. Noreldin, P. Sibanda, and S. P. Goqo, A bifurcation analysis of multicomponent convection in a rotating low prandtl number fluid with internal heating, Applied and Computational Mathematics, 22 (2022), 78–100.
  • [15] X. Wang, J. Shi, and G. Zhang, Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction, Journal of Mathematical Analysis and Applications, 497 (2021), 124860.
  • [16] Y. Wang, J. Wu, and Y. Jia, Steady-state bifurcation for a biological depletion model, International Journal of Bifurcation and Chaos, 26 (2016), 1650066.
  • [17] H. Xu and S. Fu, Density-dependent effects on Turing patterns and steady state bifurcation in a Beddington- DeAngelis-type predator-prey model, Boundary Value Problems, 2019 (2019), 1–23.
  • [18] W. Zuo and J. Shi, Existence and stability of steady-state solutions of reaction-diffusion equations with nonlocal delay effect, Zeitschrift fu¨r angewandte Mathematik und Physik, 72 (2021), 1–26.
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