Bifurcation for a Three-Component Competition System
Year: 2026
Type: article
Abstract: We investigate positive solutions for three-component competition-diffusion systems within $$B_1\subset \mathbb {R}^N$$ B 1 ⊂ R N : $$\begin{aligned}\left\{ \begin{array}{ll} -\Delta u_1=\mu u_{1}(1-u_1)-\beta u_1(u_2+ u_3),& \text {in}\ B_1,\\ -\Delta u_2=\mu u_{2}(1-u_2)-\beta u_2(u_{1} + u_3),& \text {in}\ B_1,\\ -\Delta u_3=\gamma u_{3}(1-u_3)-\beta u_3(u_{1}+u_2),& \text {in}\ B_1,\\ \frac{\partial u_{1}}{\partial n}=\frac{\partial u_{2}}{\partial n}=\frac{\partial u_{3}}{\partial n}=0, & \text {on} \partial B_1,\\ \end{array}\right. \end{aligned}$$ - Δ u 1 = μ u 1 ( 1 - u 1 ) - β u 1 ( u 2 + u 3 ) , in B 1 , - Δ u 2 = μ u 2 ( 1 - u 2 ) - β u 2 ( u 1 + u 3 ) , in B 1 , - Δ u 3
Source: La Matematica
Authors: Zaizheng Li, Susanna Terracini
Institutions: Hebei Normal University, University of Turin
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7141229816