5 edition of Stability in Model Populations found in the catalog.
December 15, 2000 by Princeton University Press .
Written in English
|The Physical Object|
|Number of Pages||336|
() Global stability of Gompertz model of three competing populations. Journal of Mathematical Analysis and Applications , () Global stability for an special SEIR epidemic model with nonlinear incidence by:
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In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations-particularly blowflies, Tribolium, and Drosophila-contributes to our understanding of population dynamics and the evolution of by: Get this from a library.
Stability in model populations. [Laurence D Mueller; Amitabh Joshi] -- Reviewing the general theory of population stability, this text critically analyzes techniques for inferring whether a given population is in balance or not.
It goes on to show how rigorous empirical. In this book, Laurence Mueller and Amitabh Joshi examine current theories of population stability and show how recent laboratory research on model populations — particularly blowflies, Tribolium, and Drosophila — contributes to our understanding of population dynamics and the evolution of stability.
Stability in Model Populations (MPB) by Laurence D. Mueller,available at Book Depository with free delivery worldwide.4/5(1). Stability in Model Populations Introduction L.D. Mueller & A. Joshi some of the advantages of using model laboratory systems to address the question of proximal and ultimate causes of population stability.
Indeed, laboratory populations constitute a powerful system in which environmental factors can be varied, one or a few at a. Genre/Form: Electronic books: Additional Physical Format: Print version: Mueller, Laurence D. Stability in Model Populations (MPB). Princeton: Princeton University Press, © Buy Stability in Model Populations (): NHBS - Laurence D.
Mueller and Amitabh Joshi, Princeton University Press. ECOLOGICAL DETERMINANTS OF STABILITY IN MODEL POPULATIONS [Mueller, Laurence D & Huynh, Phuc T] on *FREE* shipping on qualifying offers.
ECOLOGICAL DETERMINANTS OF STABILITY IN MODEL POPULATIONSAuthor: Phuc T Mueller, Laurence D & Huynh. Reviewing the general theory of population stability, this text critically analyzes techniques for inferring whether a given population is in balance or not.
It goes on to show how rigorous empirical research can reveal both the proximal causes of stability and its most evolutionary cases Includes bibliographical references (pages )Pages: Are populations in complex ecosystems more stable than populations in simple ecosystems.
InRobert May addressed these questions in this classic book. May investigated the mathematical roots of population dynamics and argued-counter to most current biological thinking-that complex ecosystems in themselves What makes populations stabilize?/5(5).
Stability and Complexity in Model Ecosystems Article (PDF Available) in IEEE Transactions on Systems Man and Cybernetics 44(12) - January with 2, Reads How we measure 'reads'.
Stability in Model Populations. The context for the book goes back to the earliest investigations in population biology early in the last century – the theoretical work of Lotka and Volterra, which was complemented by the early laboratory experiments of Gause on : Alan Hastings.
The book begins by establishing that Volterra’s model is one of the simplest nonlinear competition models. It explores the model through the study of the population growth of a species. It also covers other theories and concepts relating to the Volterra model in the context of the study.
Stability and persistence in ODE models for populations with many stages Article (PDF Available) in Mathematical Biosciences and Engineering 12(4) August with Reads. Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's bookChaos.
In the quarter century since its first publication, the book's message has grown in power. Definitions. T will be a complete theory in some language.
T is called κ-stable (for an infinite cardinal κ) if for every set A of cardinality κ the set of complete types over A has cardinality κ.; ω-stable is an alternative name for ℵ 0-stable.; T is called stable if it is κ-stable for some infinite cardinal κ.; T is called unstable if it is not κ-stable for any infinite cardinal κ.
Stability & Change in Populations Over Time--Antibiotic Resistance This 5E model for instruction may be useful in connecting the concepts of why antibiotics are not effective against viruses (viruses compared to living organisms) and the theory of natural selection and speciation.
Much of this work and other research is reviewed in a book (Stability in Model Populations) written by myself and Amitabh Joshi for Princeton University Press' Monographs in Population Biology Series.
Population census and weight data used in chapter six of the book may be downloaded here. Local stability seems to imply global stability for population models. To investigate this claim, we formally define apopulation model.
This definition seems to include the one-dimensional discrete models now in use. We derive a necessary and sufficient condition for the global stability of our defined class of models.
We derive an easily testable sufficient condition for local stability to Cited by: Stability Model (SM) is a method of designing and modelling is an extension of Object Oriented Software Design (OOSD) methodology, like UML, but adds its own set of rules, guidelines, procedures, and heuristics to achieve a more advanced Object Oriented software.
The motivation is to achieve a higher level of OO features like - Stability - it means much of the objects will be. Publisher Summary. Landscape ecology is the study of the effect of spatial pattern on an ecological process.
It thus follows that adopting a landscape ecological perspective to metapopulation dynamics entails understanding how a spatial pattern, such as habitat fragmentation or heterogeneity, affects the processes that contribute to the dynamics of spatially structured populations.
Population stability Index (PSI) gives you a measure of how much the population has increased over a period of time. It indicates whether a scorecard has degraded over a period of time. PSI can be applied at a score level, by binning the scores.
Spiking Neuron Models: Single Neurons, Populations, Plasticity Wulfram Gerstner, Werner M. Kistler Cambridge University Press, - Computers - pages5/5(1). Management and Analysis of Biological Populations demonstrates the usefulness of optimal control theory in the management of biological populations and the Liapunov function in simulating an ecosystem model under large perturbations Book Edition: 1.
A major project in deterministic epidemiological modeling of heterogeneous populations is to find conditions for the local and global stability of the equilibria and to work out the relations among these stability conditions, the thresholds for epidemic take-off and Cited by: Linearization of Diﬀerential Equation Models 1 Motivation We cannot solve most nonlinear models, so we often instead try to get an overall feel for the way the model behaves: we sometimes talk about looking at the qualitative dynamics of a system.
Equilibrium points– steady states of the system– are an important feature that we look for. ManyFile Size: KB. Thieme H.R. () Local Stability in Epidemic Models for Heterogeneous Populations. In: Capasso V., Grosso E., Paveri-Fontana S.L. (eds) Mathematics in Biology and Medicine.
Lecture Notes in Biomathematics, vol Cited by: Downloadable. In many countries with high socio-economic development, demographic trends highlight meaningful changes in the population structure and size especially due to the joined effects of declining fertility rates and increasing life expectancies, particularly at older ages.
This phenomenon leads mainly to a drastic increase in the ratio of the elderly to the young active population and. Mathematical Model & Stability Analysis (Model 1) The SIR Model is used in epidemiology to compute the amount of susceptible, infected, recovered people in a population. This model is an appropriate one to use under the following assumptions: • The population is fixed.
• The only way a person can leave the susceptible group is to become. A single species population model is investigated, where the discrete maturation delay and the Ricker birth function are incorporated.
The threshold determining the global stability of the trivial equilibrium and the existence of the positive equilibrium is obtained. The necessary and sufficient conditions ensuring the local asymptotical stability of the positive equilibrium are given by Cited by: 3. Stability Analysis of a Population Dynamics Model with Allee Eﬁect Canan Celik ⁄ Abstract| In this study, we focus on the stability analysis of equilibrium points of population dynamics with delay when the Allee eﬁect occurs at low pop-ulation density is considered.
Mainly, mathematical results and numerical simulations illustrate the stabi. In ecology equilibrium and stability are very important concepts, but ecologists have defined them in many different ways. One of the definitions most commonly used was brought from the branch of physics and mathematics called analysis of dynamical systems.
It is this approach that brought to ecology the differential equations used to describe the dynamics of populations, such as logistic and.
Stability and Complexity in Model Ecosystems played a key role in introducing nonlinear mathematical models and the study of deterministic chaos into ecology, a role chronicled in James Gleick's book Chaos. In the quarter century since its first publication, the book's message has grown in power.
The Mathematical Model. A compartmental framework is used to model the possible spread of EVD within a population. The model accounts for contact tracing and quarantining, in which individuals who have come in contact or have been associated with Ebola infected or Ebola-deceased humans are sought and by: 6.
Lehman and Tilman analysed different models of multispecies competition and empirical data (Tilman ), finding that greater diversity increases the temporal stability of the entire community but decreases the temporal stability of individual populations.
Specifically, temporal stability of the entire community increases fairly linearly Cited by: Populations with violent fluctuation in population size are called unstable and are more prone to extinction as they hit lower population sizes frequently.
And once a population in extinct, it is gone for ever. Thus it would be interesting to investigate how population stability evolves.
Since the model monitors human populations, all its associated parameters are nonnegative. Further, the following nonnegativity result holds. Theorem 1. The variables of the model are nonnegative for all the time.
In other words, solutions of the model system with positive initial data will remain positive for all time. Cited by: Aims and objectives Aims. The aim is to provide an intuitive understanding of the properties of model stable populations, and an understanding of their age structures and growth rates.
Objectives. After working through this module you should be able to: Understand the uses of stable population theory. Stability and Complexity in Model Ecosystems by Robert M. May,available at Book Depository with free delivery worldwide/5(5).
bR.M. May, \Stability and complexity in model ecosystems", 2nd ed, Princeton University Press, c In addition to the book mentioned above, May published an article in Nature in entitled \Will a largeFile Size: KB. In this paper, we study on the neural field model of two neuron populations.
We make the stability analysis of the linearized model by considering the e¤ect of the synaptic connectivity function.
We separate the plane into regions on which we find the number of roots with positive real parts. Hence we find the asymptotic stability : Berrak Özgür, Ali Demir.Population Stability and Momentum Arni S.
R. Srinivasa Rao One commonly prescribed approach for under-standing the stability of a system of dependent variables is that of Lyapunov. In a possible alter-native approach: when variables in the system have momentum, then that can trigger additional dynamics within the system causing the system.Age-Structured Matrix Models 2 you think of an organism whose life history meets these assumptions?
Many natural populations violate at least one of these assumptions because the populations have structure: They are composed of individuals whose birth and File Size: KB.