Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 37 for “"Lotka Volterra"”.
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Travelling waves in Lotka-Volterra competition models
… where the interactions are of classic “Lotka-Volterra” type and we consider a particular problem with relevance to applications in population dynamics: essentially, we study under what conditions the interplay of relative motility (diffusion) and competitive strength can cause waves of …
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Population dynamics of stochastic lattice Lotka-Volterra models
In a stochastic Lotka-Volterra model on a two-dimensional square lattice with periodic boundary conditions and subject to occupation restrictions, there exists an extinction threshold for the predator population that separates a stable active two-species coexistence phase from an inactive state …
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A comparative study of Lotka-Volterra and system dynamics models for simulation of technology industry dynamics
… competition. Multi-mode framework, based on the Lotka-Volterra equation barrowed from biological ecology, provide a rich setting for assessing the interaction between two or more technologies. A more recent approach uses System Dynamics to model the dynamics of innovative industries. A System …
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Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes.
… analyze an extension to the classic Competitive Lotka-Volterra (CLV) model. The goal is to model competition between species, with a response from the environment. This response is a function of the population of all species and can represent numerous physical phenomena including resource …
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Identification and incorporation of quantitative indicators of ecosystem function into single-species fishery stock assessment models and the associated biological reference points
… trawl fishery, and to utilize a multispecies Lotka-Volterra model to examine possible community level effects of fishing. Community level effects include predator-prey interactions and the responses of fish in the same community to fishing pressure. The summer and fall Southeast Area …
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Stable configurations for population and social dynamics
… global and local minima in two models: the Lotka--Volterra model for population dynamics and a tractable polarized opinion social dynamic model. This dissertation contains stability results of the Lotka--Volterra model when induced by a cycle graph food web network. Results such as orbits, …
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Pitchfork bifurcations of invariant manifolds
… to a 2-dimensional discrete version of the Lotka-Volterra model, describing dynamics of a predator-prey population. The Lotka-Volterra model is slightly modified to depend on a continuously varying parameter. Significance of a pitchfork bifurcation in the Lotka-Volterra model is discussed …
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Aspects of population dynamics
… contexts: We study the stochastic spatial Lotka-Volterra (LV) model for predator-prey interaction subject to a periodically varying carrying capacity. The LV model with on-site lattice occupation restrictions that represent finite food resources for the prey exhibits a continuous …
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Analysis of discrete dynamical system models for competing species
A discrete version of the Lotka-Volterra (LV) differential equations for competing population species is analyzed in detail, much the same way as the discrete form of the logistic equation has been investigated as a source of bifurcation phenomena and chaotic dynamics. Another related system, …
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Understanding and predicting responses of ecological communities to perturbations
… three main ways. In Chapters 2 and 3, we explore Lotka-Volterra population dynamics at equilibrium and demonstrate that subsets of species that can tolerate a larger amount of perturbations on model parameters (i.e., structural perturbations) are more likely to persist. We then show how these …
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On the Relaxation Dynamics of Disordered Systems
… systems: the two-species predator-prey Lotka-Volterra model with rate variability, and an elastic line model to simulate vortex lines in type-II superconductors. We study the effects of intrinsic demographic variability with inheritance in the reaction rates of the Lotka-Volterra model …
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Parametric and nonparametric approaches to explain and predict nonlinear population dynamics in changing environments
… the structural stability of the classic Lotka-Volterra dynamics; it can be applied to a much larger class of nonlinear models and to stochastic systems.
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Understanding community changes in ecological systems: a probabilistic and geometric perspective
… This framework, rooted in the generalized Lotka-Volterra model, adopts a probabilistic and geometric perspective to understand these dynamics. In particular, my thesis comprises three core projects. The first project develops probabilistic system-level measures to quantify the effects of …
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Nonlinear oscillation and control in the BZ chemical reaction.
In this thesis, a reversible Lotka-Volterra model was proposed to study the nonlinear oscillation of the Belousov-Zhabotinsky(BZ) reaction in a closed isothermal chemical system. The reaction zone can be divided into two zones, oscillation zone and transition zone, where the oscillation time and …
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Population models
… model, namely that of a three-variable Lotka-Volterra system. Also, the paper will explore short-term infectious disease models as they relate to particular epidemics throughout history, including the Iowa Mumps outbreak of 1966 and the Bubonic Plaque. The thesis will then work to make …
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Asymptotic Analysis of Some Stochastic Models from Population Dynamics and Population Genetics
… dependent models of ecological competition of Lotka, Volterra, Gause, and Kolmogorov. This allows for haploid populations of stochastically varying – but bounded – size. Populations are kept finite by resource limitation. We show the existence of limits that naturally generalize the weak and …
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The Spread of Change in French Negation
… progression observed by Kroch (1989). Following Lotka (1925) and Volterra (1926), we can extend this model to take into account the competition between constructions to express the same function. To test these models, I have compiled a corpus of French theatrical texts from the twelfth to the …
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Algorithms for Reconstructing Biological History from Genomic Data
… how one can learn a large, yet interpretable, Lotka-Volterra model from time-series measurements of the microbiome.
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A quantitative model of density-dependent habitat selection: integrating isodar and isoleg theories
… capita growth rates, calculated according to the Lotka-Volterra competition equations. Because fitness is assessed via growth rates, this model provides a more accurate representation of distribution patterns than do current models. The development of this model serves two purposes: (1) to permit …
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Il dilemma Cooperazione vs Competizione in applicazioni economiche e ecologiche
… dynamics is dictated by an extension of the Lotka-Volterra equations. In particular, the Lotka-Volterra model is combined with the logistic equation in order to take into account intra-specific and inter-specific competition. The consequences of artificial perturbations induced to the system …
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