Bifurcations and Spatiotemporal Patterns in the Diffusive Nutrient-Microorganism Model

• Published in: Acta Mathematicae Applicatae Sinica Vol. 41; no. 1; pp. 162 - 178
• Main Authors: Wang, Ya-di, Yuan, Hai-long, Li, Yan-ling
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025; Springer Nature B.V
• Edition: English series
• Subjects: Applications of Mathematics; Boundary conditions; Hopf bifurcation; Math Applications in Computer Science; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Microorganisms; Orbits; Steady state models; Theoretical; 35B32; nutrient-microorganism model; Hopf bifurcation; steady state bifurcation; 35K57; simulations

In this paper, the diffusive nutrient-microorganism model subject to Neumann boundary conditions is considered. The Hopf bifurcations and steady state bifurcations which bifurcate from the positive constant equilibrium of the system are investigated in details. In addition, the formulae to determine...