Effect of time delay on a detritus-based ecosystem

DOI10.1155/IJMMS/2006/25619zbMath1127.92042OpenAlexW1974243346MaRDI QIDQ2469045

Malay Bandyopadhyay, Nurul Huda Gazi

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53629

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Ecology (92D40) Bifurcation theory of functional-differential equations (34K18)

Related Items (10)

Nonlinear dynamics of a marine phytoplankton-zooplankton system ⋮ Stability and Hopf bifurcation analysis for a Gause-type predator-prey system with multiple delays ⋮ The dynamics of viral infection in toxin producing phytoplankton and zooplankton system with time delay ⋮ Complex dynamics in a prey predator system with multiple delays ⋮ Dynamics of a marine plankton system: diffusive instability and pattern formation ⋮ Effect of environmental fluctuation on a detritus based ecosystem ⋮ Structural stability analysis of an algal bloom mathematical model in tropic interaction ⋮ Dynamics of the interaction of plankton and planktivorous fish with delay ⋮ Bifurcation behaviors analysis of a plankton model with multiple delays ⋮ Dynamics of One-Consumer-Two-Resources Ecological System with Beddington-Deangelis Functional Response

Cites Work

• Delay differential equations: with applications in population dynamics
• Persistence in models of three interacting predator-prey populations
• The trade-off between mutual interference and time lags in predator-prey systems
• Delays in recruitment at different trophic levels: Effects on stability
• Harmless delays in model 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
• Convergence results in a well-known delayed predator-prey system
• Predator-prey models with delay and prey harvesting
• Delayed responses and stability in two-species systems
• Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
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