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Dynamic behavior analysis of a diffusive plankton model with defensive and offensive effects
- Source :
- Chaos, Solitons & Fractals. 129:94-102
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- This paper investigates the dynamic behavior of a diffusive plankton model with defensive and offensive effects in two cases. For the single compartment model, we first derive the sufficient conditions for the stability and Hopf bifurcation of coexisting equilibrium, which implies that the changes of defense and offense can cause oscillation of planktonic population. Then the properties of Hopf bifurcation are discussed by center manifold theorem. For the spatially extended model, we obtain the sufficient conditions for Turing instability and Hopf bifurcation. It is observed that spatial patterns put in place, under the interaction of diffusion, defense and offense. Finally, some numerical simulations are carried out to support the analytical results.
- Subjects :
- Hopf bifurcation
education.field_of_study
Oscillation
General Mathematics
Applied Mathematics
Population
Offensive
General Physics and Astronomy
Statistical and Nonlinear Physics
01 natural sciences
Stability (probability)
010305 fluids & plasmas
symbols.namesake
0103 physical sciences
Spatial ecology
symbols
Statistical physics
Diffusion (business)
education
010301 acoustics
Center manifold
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 129
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........87af5df6da6670b19b93aa12eb984be9