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Chaos in a three-species food chain

WebMar 31, 2010 · Genetically driven chaotic Red Queen in a three-species food chain. ( a) Evolutionary strange attractor. The estimated Lyapunov exponents are L1 = 8.1321 × 10 −3, L2 =− 2.3923 × 10 −6, L3 =− 4.6270 × 10 −1, and the fractal dimension is 2 − L1 / L3 = 2.0176 (Kaplan–Yorke formula). WebJun 15, 2009 · A Three-Species Food Chain System with Two Types of Functional Responses Y. Do, H. Baek, Y. Lim, D. Lim Mathematics 2011 In recent decades, many researchers have investigated the ecological models with three and more species to understand complex dynamical behaviors of ecological systems in nature. Expand 22 …

Chaos in a three-species food chain model with a …

WebJune 1991 CHAOS IN A THREE-SPECIES FOOD CHAIN 897 species X species Y species Z FIG. 1. The feeding relationships in the food chain. Ar-rows go from prey to … WebOct 22, 1998 · To study exploitative competition, we began with parameters for a biologically plausible example of persistent chaotic dynamics for a three-species food chain (Ω ij values = 1; x C 1 = 0.40; y C ... options and wash sales https://wlanehaleypc.com

Multimodal distribution of transient time of predator …

WebApr 1, 2024 · [Show full abstract] that the three species food chain model without alternative food induced chaos from stable focus for increasing values of the half … WebSep 1, 2002 · Hastings and Powell have shown the existence of chaotic dynamics in three species food chain model. The choices of parameter were restricted to the cases where … WebJun 1, 1991 · A continuous time model of a food chain incorporating nonlinear functional (and numerical) responses exhibits chaotic dynamics in long—term behavior … options and padding in ipv4

Food chain chaos due to junction-fold point: Chaos: An ...

Category:Chaos in a Three‐Species Food Chain - Hastings - 1991 - Ecology

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Chaos in a three-species food chain

Chaotic Red Queen coevolution in three-species food chains ...

WebThis paper is concerned with the effect of time delayed intervention on a hybrid ratio dependent three-species food chain. We obtain the conditions under which the positive … WebTo be specific, this paper extends an integer-order three-species food-chain system to fractional-order form, and determines the range of order with chaos in the fractional-order ecosystem. The dynamics of the derived fractional-order ecosystem is studied with the variation of the parameter value.

Chaos in a three-species food chain

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WebChaos in three species food chains 429 2 General food chain models A characteristic trait of food chain models is the presence of coupled predator-prey oscillations. Typically, the species higher in the trophic levels oscillate with lower frequency than the species at the bottom trophic levels. WebJun 15, 2009 · This paper investigates a three-species food chain model with a Beddington–DeAngelis functional response, both analytically and through numerical …

WebSep 1, 2008 · We have examined in this paper the dynamic complexities of a three species food chain. Many forms of complexities exist, such as chaotic bands (including periodic windows, tangent bifurcations, period-doubling bifurcations, period-halving bifurcations and attractor crisis) and chaotic attractors. WebAug 31, 2001 · The fact that junction-fold points are structurally stable and the limiting structures persist gives us a rigorous but dynamical explanation as to why basic food chain dynamics can be chaotic. REFERENCES 1. B. Deng, “ Glucose-induced period-doubling cascade in the electrical activity of pancreatic β-cells ,” J. Math. Biol. 38, 21– 78 (1999).

WebDec 31, 2024 · Controlling chaos in three species food chain model with fear effect. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, … WebApr 12, 2024 · 37 K. McCann and P. Yodzis, “ Biological conditions for chaos in a three-species food chain,” Ecology 75(2), 561 ...

WebNov 7, 2024 · Stability of the species just under the top of the food chain declines, as does the stability of total biomass. Indeed, these results generalize the paradox of enrichment to dynamics in the vicinity of a stable equilibrium . In all food chains, however, the species just below the top of the food chain is the least stable (figures 3–5). The ...

WebV. Kumar and N. Kumari , Controlling chaos in three species food chain model with fear effect, AIMS Press 5(2) (2024) 828–842. ISI, Google Scholar; 10. M. Mamat, W. M. Sanjaya, Z. Salleh and M. Ahmad , Numerical simulation dynamical model of three-species food chain with Lotka-Volterra linear functional response, J. Sustain. Sci. options and time valueoptions archeryWebJun 1, 1991 · A continuous time model of a food chain incorporating nonlinear functional (and numerical) responses exhibits chaotic dynamics in long—term behavior when … options and swapsWebApr 1, 2005 · In this paper, we investigate three species food chain system with periodic constant impulsive perturbations of mid-level predator. Conditions for extinction of lowest-level prey and top predator are given. portman\u0027s music store savannah georgiaWebSep 3, 2024 · In the present work, a three-species food chain model incorporating the fear of predators is investigated, where the fear of generalist predator impedes the growth rate of the specialist predator, and the fear of specialist predator reduces the birth rate of the prey. options and swaps are examples of whatWebJun 1, 1991 · Title: Chaos in a three-species food chain Full Record Other RelatedResearch Abstract A continuous time model of a food chain incorporating … options arbitrage strategiesWebJun 1, 1991 · Chaos in a Three‐Species Food Chain Hastings, Alan; Powell, Thomas 1991-06-01 00:00:00 A continuous time model of a food chain incorporating nonlinear … portmanmoor road cardiff