Microscale patchiness of the distribution of copepods (Harpacticoida) as a result of trophotaxis

Tyutyunov, Yu. V.; Zagrebneva, A.D.; Surkov, F. A.; Azovsky, Andrey I.

doi:10.1134/s000635090903018x

Cited by 14 publications

(14 citation statements)

References 17 publications

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“…These are cyclic population data for a case where Paramecium aurelia served as a host organism for Woodruffia metabolica [80]; bacterium Klebsiella aerogenes and its predator protozoa Tetrahymena pyriformis [77]; bacterium Pseudomonas fluorescens with predator Tetrahymena pyriformis [81], or the classical predator-prey pair Paramecium aurelia and Didinium nasutum, etc. In terms of the modeling approach, a model for population system is described by the "reaction-taxis-diffusion" [82], and they have shown that the intensity of taxis is significantly dependent on population density. According to them, the taxis behavior can have a stabilizing effect on the dynamics of a spatially distributed population and create appropriate conditions for the potential existence of populations in the regime of bounded spatial oscillations.…”

Section: Background and Fundamental Aspectsmentioning

confidence: 99%

Algae, Biofuels, and Modeling

Yıldız

Nguyen-Quang

Mehlitz³

et al. 2013

Causes, Impacts and Solutions to Global Warming

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This chapter first presents and discusses a dynamic mathematical model which is developed to simulate a tubular photobioreactor (PBR) and microalgae growth within at any desired location. The model has options to evaluate the effects of location, time of the year, orientation, shading and night curtains, heating and cooling systems, and indoor and outdoor operating conditions. Then the chapter focuses on the algal growth kinetics of microalgae cultivated with coal-fired flue gas, and presents two algal strains, Chlorella vulgaris and Tetraselmis sp. cultivated in lab-scale PBRs to assess the feasibility of using flue gas as a carbon source. And then, the chapter presents an economic feasibility analysis for manufacturing biodiesel from algae using a PBR. The chapter then introduces a mathematical model to investigate the thermal effects on algae population in growth in both fluid and porous media. The study reveals the potential feedback between hydrodynamic and local demographic processes in microorganism populations in the context of the influence of climate change on natural ecological systems. Finally, the chapter discusses the relationship dynamics between algae and nutrient or herbivore and algae using the predator-prey approach based on classical Lotka-Volterra system.

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Section: Background and Fundamental Aspectsmentioning

confidence: 99%

Algae, Biofuels, and Modeling

Yıldız

Nguyen-Quang

Mehlitz³

et al. 2013

Causes, Impacts and Solutions to Global Warming

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“…The random movements of insects within the habitat is described by diffusion terms while tactic (advective) terms formalise the directed movements of beetles, stimulated by heterogeneities in the plant biomass distribution (trophotaxis). Thus, in order to describe the spatial movements of phytophage we use the earlier proposed approach to modelling animal taxis [16,55,63,64], that naturally generalises the basic principles of the classical Keller-Segel chemotaxis model [25] to the case of two-component trophic system (see [64,66]).…”

Section: The Demogenetic Modelmentioning

confidence: 99%

“…are the taxis velocity potentials of phytophage genotypes that represent stimuli of tactic movements [64,66]. Field observations suggest that local food shortage increases spatial activity of the ragweed leaf beetle [33,34,36].…”

Section: Model Descriptionmentioning

confidence: 99%

“…Intensity of the directed movements (consumer sensitivity to food shortage) is given by the taxis coefficients κ ff , κ fw , κ ww . The diffusion coefficients of genotype taxis stimuli δ Sff , δ Sfw , δ Sww describe various effects of collective insect movements [17] and can be interpreted as viscosity [66]. Details of the method used for taxis modelling, its justification and advantages are given in the earlier papers [2,16,55,63,64,66].…”

Section: Model Descriptionmentioning

confidence: 99%

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Spatial Demogenetic Model for Studying Phenomena Observed upon Introduction of the Ragweed Leaf Beetle in the South of Russia

Tyutyunov

Ковалев

Titova

2013

Math. Model. Nat. Phenom.

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The introduction of the ragweed leaf beetle in the South of Russia in 1978-1989 was accompanied by a number of spectacular phenomena that determined the general success of the ragweed control and further dispersal and acclimatization of the beetles: (i) formation of solitary population waves (SPW), characterized by an extremely high density of the phytophage population at the narrow band of the front of a moving wave defoliating nearly all ragweed plants, and (ii) rapid, within 5-6 generations, development of flight in the leaf beetle species that in its homeland lost the ability to fly. We present here a demogenetic model capable of reproducing both these phenomena, assuming that the flight ability of a phytophage population is governed by a single diallelic locus with flight and flightless alleles that determine three genotypes of the ragweed leaf beetle. Simulation results agree well with the practical recommendation of retaining a high density of common ragweed in the release area in order to provide the necessary conditions for the initial increase of the leaf beetle population and the formation of the wave. The model confirms the earlier hypothesis that the SPW is the key factor that determines efficiency of weed biocontrol program. We demonstrate also that the formation of the wave has crucially accelerated the development of the beetles' ability to fly.

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“…Mogilner and EdelsteinKeshet 1999, Mogilner et al 2003) and/or by taxis (Tyutyunov et al 2004(Tyutyunov et al , 2009). On a larger spatial scale, an intuitive explanation of the spatial heterogeneity in species distribution lies in environmental variability, e.g.…”

Section: Introductionmentioning

confidence: 99%

Delay driven spatiotemporal chaos in single species population dynamics models

Jankovic

Petrovskii

Banerjee

2016

Theoretical Population Biology

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Questions surrounding the prevalence of complex population dynamics form one of the central themes in ecology. Limit cycles and spatiotemporal chaos are examples that have been widely recognised theoretically, although their importance and applicability to natural populations remains debatable. The ecological processes underlying such dynamics are thought to be numerous, though there seems to be consent as to delayed density dependence being one of the main driving forces. Indeed, time delay is a common feature of many ecological systems and can signi cantly in uence population dynamics. In general, time delays may arise from interand intra-speci c trophic interactions or population structure, however in the context of single species populations they are linked to more intrinstic biological phenomena such as gestation or resource regeneration. In this paper, we consider theoretically the spatiotemporal dynamics of a single species population using two di erent mathematical formulations. Firstly, we revisit the di usive logistic equation in which the per capita growth is a function of some speci ed delayed argument. We then modify the model by incorporating a spatial convolution which results in a biologically more viable integro-di erential model. Using the combination of analytical and numerical techniques, we investigate the e ect of time delay on pattern formation. In particular, we show that for su ciently large values of time delay the system's dynamics are indicative to spatiotemporal chaos. The chaotic dynamics arising in the wake of a travelling population front can be preceded by either a plateau corresponding to dynamical stabilisation of the unstable equilibrium or by periodic oscillations.

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Microscale patchiness of the distribution of copepods (Harpacticoida) as a result of trophotaxis

Cited by 14 publications

References 17 publications

Algae, Biofuels, and Modeling

Algae, Biofuels, and Modeling

Spatial Demogenetic Model for Studying Phenomena Observed upon Introduction of the Ragweed Leaf Beetle in the South of Russia

Delay driven spatiotemporal chaos in single species population dynamics models

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