Modeling the plankton-fish dynamics with top predator interference and multiple gestation delays

DOI10.1007/s11071-020-05688-2zbMath1516.92096OpenAlexW3028767164WikidataQ115603044 ScholiaQ115603044MaRDI QIDQ6168855

Archana Ojha, Nilesh Kumar Thakur, Debaldev Jana, Ranjit Kumar Upadhyay

Publication date: 9 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05688-2

zbMATH Keywords

chaostime delayHopf bifurcationtranscritical bifurcationplanktonMonod-Haldane functional response

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Bifurcation theory of functional-differential equations (34K18)

Related Items (4)

An investigation of delay induced stability transition in nutrient-plankton systems ⋮ Harvesting in a toxicated intraguild delayed fishery model with variable carrying capacity ⋮ A non-autonomous approach to study the impact of environmental toxins on nutrient-plankton system ⋮ Complex dynamics induced by multiple gestation delays in a Leslie–Gower‐type system with competitive interference

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaotic dynamics of a discrete predator-prey system with prey refuge
• Persistence and global stability of Bazykin predator-prey model with Beddington-DeAngelis response function
• Analysis of a toxin producing phytoplankton-zooplankton interaction with Holling IV type scheme and time delay
• The role of top predator interference on the dynamics of a food chain model
• Complex dynamics in a prey predator system with multiple delays
• A three-species food chain system with two types of functional responses
• Dynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refuge
• Delay differential equations: with applications in population dynamics
• Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain
• Competing effects of toxin-producing phytoplankton on overall plankton populations in the Bay of Bengal
• Species extinction and permanence in a prey-predator model with two-type functional responses and impulsive biological control
• Effect of time-delay on a food chain model
• A minimum model of prey-predator system with dormancy of predators and the paradox of enrichment
• Three-species food-chain models with mutual interference and time delays
• Hopf bifurcation in three-species food chain models with group defense
• Theory of functional differential equations. 2nd ed
• Effects of spatial grouping on the functional response of predators
• Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
• Patchy agglomeration as a transition from monospecies to recurrent plankton blooms
• Stability and Hopf bifurcation for a three-species food chain model with time delay and spatial diffusion
• Explosive predator and mutualistic preys: a comparative study
• Density-dependent effects of prey defenses and predator offenses
• Role of infection on the stability of a predator-prey system with several response functions -- a comparative study
• Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators
• Explosive tritrophic food chain models with interference: a comparative study
• Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion
• Turing instabilities in prey-predator systems with dormancy of predators
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• Hopf bifurcation in a two-competitor, one-prey system with time delay
• Ecological dynamics of age selective harvesting of fish population: maximum sustainable yield and its control strategy
• Dynamical analysis of a delay model of phytoplankton-zooplankton interaction
• Impulsive harvesting and stocking in a Monod-Haldane functional response predator-prey system
• Dynamical consequences of predator interference in a tri-trophic model food chain
• NUTRIENT-PHYTOPLANKTON-ZOOPLANKTON DYNAMICS IN THE PRESENCE OF ADDITIONAL FOOD SOURCE — A MATHEMATICAL STUDY
• COMPLEXITY OF A DELAYED PREDATOR–PREY MODEL WITH IMPULSIVE HARVEST AND HOLLING TYPE II FUNCTIONAL RESPONSE
• TOXIN-ALLELOPATHY AMONG PHYTOPLANKTON SPECIES PREVENTS COMPETITIVE EXCLUSION

This page was built for publication: Modeling the plankton-fish dynamics with top predator interference and multiple gestation delays