Bibliographic Details
| Title: |
Double Bifurcation and Stability Analysis in a Predator-prey Ecosystem Incorporating Dinosaur Functional Responses and Spatial Diffusion. |
| Authors: |
Wenbin Yang1 yangwenbin@xupt.edu.cn |
| Source: |
IAENG International Journal of Applied Mathematics. Jul2025, Vol. 55 Issue 7, p2103-2111. 9p. |
| Subjects: |
Implicit functions, Dinosaurs, Equilibrium, Ecosystems |
| Abstract: |
This research focuses on a spatially diffusive predator-prey model incorporating the Dinosaur-type functional response, subject to homogeneous Dirichlet boundary constraints. The primary aim is to explore the emergence of nontrivial, small-amplitude positive solutions branching from the zero equilibrium and to assess their long-term stability. To substantiate the theoretical findings, computational experiments are performed. The theoretical framework is established using LyapunovCSchmidt decomposition, the application of the implicit function theorem, and linear approximation methods. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
