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.
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Farshid, M., & Jalilian, Y. (2023). Steady state bifurcation in a cross diffusion prey-predator model. Computational Methods for Differential Equations, 11(2), 254-262. doi: 10.22034/cmde.2022.52663.2213
MLA
Marzieh Farshid; Yaghoub Jalilian. "Steady state bifurcation in a cross diffusion prey-predator model". Computational Methods for Differential Equations, 11, 2, 2023, 254-262. doi: 10.22034/cmde.2022.52663.2213
HARVARD
Farshid, M., Jalilian, Y. (2023). 'Steady state bifurcation in a cross diffusion prey-predator model', Computational Methods for Differential Equations, 11(2), pp. 254-262. doi: 10.22034/cmde.2022.52663.2213
VANCOUVER
Farshid, M., Jalilian, Y. Steady state bifurcation in a cross diffusion prey-predator model. Computational Methods for Differential Equations, 2023; 11(2): 254-262. doi: 10.22034/cmde.2022.52663.2213
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