Structural stability analysis of an algal bloom mathematical model in tropic interaction

DOI10.1016/j.nonrwa.2009.06.009zbMath1201.34072OpenAlexW1982913952MaRDI QIDQ984494

Kalyan Das, Nurul Huda Gazi

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.06.009

zbMATH Keywords

time delaylimit cyclesrandom noisevariancesstructural and stochastic stabilityzooplankton-phytoplankton

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

• Effect of time delay on a harvested predator-prey model
• Multiple stable equilibria in a predator-prey system
• The qualitative analysis of two species predator-prey model with Holling's type III functional response
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
• Effects of environmental fluctuation on plankton allelopathy
• Mathematical biology. Vol. 1: An introduction.
• Effect of time delay on a detritus-based ecosystem
• Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Nonuniqueness of limit cycles of gause-type predator-prey systems
• On the Uniqueness of a Limit Cycle for a Predator-Prey System
• Stochastic analysis of a prey‐predator system
• Solutions of ordinary differential equations as limits of pure jump markov processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
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