Complexity-stability relationship of two-prey-one-predator species system model: local and global stability.

No abstract is available for this paper.

• Publication year

  1977

• Venue

  Journal of Theoretical Biology

• Publication date

  1977-12-21

• Fields of study

  Mathematics, Medicine

• Identifiers
  DOI 10.1016/0022-5193(77)90370-8PMID 564430
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Stability and Complexity in Model Ecosystems

  2019cited by this paper
• Predation and Population Stability

  1975cited by this paper
• Models in ecology

  1974cited by this paper
• Interspecific competition, predation and species diversity: a comment.

  1972cited by this paper
• Limit Cycles in Predator-Prey Communities

  1972cited by this paper
• Interspecific competition, predation and species diversity.

  1970cited by this paper
• An introduction to mathematical ecology

  1970cited by this paper
• Switching in General Predators: Experiments on Predator Specificity and Stability of Prey Populations

  1969cited by this paper
• Food Web Complexity and Species Diversity

  1966cited by this paper
• Functions of complex variables

  1959cited by this paper
• Homage to Santa Rosalia or Why Are There So Many Kinds of Animals?

  1959cited by this paper
• Fluctuations of Animal Populations and a Measure of Community Stability

  1955cited by this paper
• An Upland Forest Survey of the Milwaukee Area

  1954cited by this paper
• Fundamentals of Ecology

  1954cited by this paper

• Persistence and Extinction in Stochastic Model of an Oncolytic Virotherapy by Tumor-Virus Interaction with Statistical Analysis

  2025cites this paper
• Complex dynamics of two prey-one predator model together with fear effect and harvesting efforts in preys

  2022cites this paper
• Global stability and traveling wave solutions for a two-competing-prey and one-predator Lotka-Volterra model

  2022cites this paper
• Stability and bifurcation of a two competing prey-one predator system with anti-predator behavior

  2022influential citation
• Synthesis and Computer Study of Population Dynamics Controlled Models Using Methods of Numerical Optimization, Stochastization and Machine Learning

  2021cites this paper
• Design and computer research of a nonlinear stochastic models describing the dynamics of interacting populations

  2021cites this paper
• Computer research of a nonlinear model of population dynamics taking into account trophic chains *

  2021cites this paper
• Dynamics of a Diffusive Two-Prey-One-Predator Model with Nonlocal Intra-Specific Competition for Both the Prey Species

  2020influential citation
• Generalist predator dynamics under Kolmogorov versus non-Kolmogorov models.

  2020cites this paper
• Dynamics of diffusive modified Previte-Hoffman food web model.

  2020cites this paper
• Dynamics analysis of a stochastic non-autonomous one-predator–two-prey system with Beddington–DeAngelis functional response and impulsive perturbations

  2019cites this paper
• Coexistence and harvesting control policy in a food chain model with mutual defense of prey

  2019cites this paper
• Dynamical behaviour of a two-prey and one-predator system with help and time delay

  2019cites this paper
• STOCHASTIC AND DELAY ANALYSIS OF TWO PREYS AND ONE PREDATOR ECOLOGICAL SYSTEM WITH COMPETITION AMONG PREYS AND SELF INTERACTION

  2018cites this paper
• A Beddington–DeAngelis type one-predator two-prey competitive system with help

  2018cites this paper
• A Beddington–DeAngelis type one-predator two-prey competitive system with help

  2018cites this paper
• Study of refuge use on a predator–prey system with a competitor for the prey

  2017cites this paper
• Positive steady states of a density-dependent predator-prey model with diffusion

  2017cites this paper
• The effect of refuge and immigration in a predator–prey system in the presence of a competitor for the prey

  2016cites this paper
• Stability analysis in prey–predator system with mixed functional response

  2016cites this paper
• Avoiding toxic prey may promote harmful algal blooms

  2015cites this paper
• Stability analysis of a food chain model consisting of two competitive preys and one predator

  2015cites this paper
• Stability analysis of a food chain model consisting of two competitive preys and one predator

  2015cites this paper
• Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors

  2014cites this paper
• Spatiotemporal complexity in a predator--prey model with weak Allee effects.

  2014cites this paper
• Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation

  2013cites this paper
• Analytical-numerical methods for finding hidden oscillations in dynamical systems

  2012cites this paper
• The dynamics of an impulsive one-prey multi-predators system with delay and Holling-type II functional response

  2010cites this paper
• GLOBAL PROPERTIES OF THE THREE-DIMENSIONAL PREDATOR-PREY LOTKA-VOLTERRA SYSTEMS

  2009cites this paper
• Estabilidade de equilíbrio e órbitas periódicas em um sistema Lotka-Volterra com duas presas e um predador

  2008cites this paper
• Extinction and coexistence of competing prey species in ecological systems

  2006cites this paper
• Competitive coexistence through intermediate polyphagy

  2006cites this paper
• Effects of predation pressure on species packing on a resource gradient: insights from nonlinear dynamics.

  2006cites this paper
• The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects.

  2006cites this paper
• Dynamic complexity of a two-prey one-predator system with impulsive effect

  2005cites this paper
• Complex dynamic behavior in a food web consisting of two preys and a predator

  2005cites this paper
• Stability in a diffusive food-chain model with Michaelis–Menten functional response

  2004cites this paper
• Deleting species from model food webs

  2004cites this paper
• Existence of chaos in two-prey, one-predator system

  2003cites this paper
• High Reproductive Rates Result in High Predation Risks: A Mechanism Promoting the Coexistence of Competing Prey in Spatially Structured Populations

  2003cites this paper
• Extinction and permanence of a two-prey one-predator system with impulsive effect.

  2003cites this paper
• On the stabilizing eect of specialist predators on founder-controlled communities

  2003cites this paper
• Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model

  2002cites this paper
• EVOLUTION OF VIRULENCE IN A HETEROGENEOUS HOST POPULATION

  2000cites this paper
• Persistence of two prey-one predator system with ratio-dependent predator influence

  2000cites this paper
• Host–parasitoid population dynamics

  2000cites this paper
• IS PREDATOR‐MEDIATED COEXISTENCE POSSIBLE INUNSTABLE SYSTEMS?

  1999cites this paper
• CHAPTER 2 – Theories and Mechanisms of Natural Population Regulation

  1999cites this paper
• Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics

  1998cites this paper
• Generalist and specialist predators that mediate permanence in ecological communities

  1997cites this paper
• 個体数変動, 漁業インパクト評価, 野生生物資源の持続的利用( 個体群研究のフロンティア : 個体群生態の新たな発展)

  1997cites this paper
• Parasite-Mediated Competition: A Model of Directly Transmitted Macroparasites

  1996cites this paper
• Title Cyclic Advantage Hypothesis for the Species Replacement of Pelagic Fishes.(Mathematical Topics in Biology)

  1994cites this paper
• Competition between bacterivorous flagellates and bacterivorous ciliates for food resources

  1992cites this paper
• Alternative models for species replacement of pelagic fishes

  1991influential citation
• An interfacial approach to regional segregation of two competing species mediated by a predator

  1991cites this paper
• Dynamics of Lotka-Volterra systems with exploitation

  1991cites this paper
• On the stabilizing effect of predators and competitors on ecological communities

  1989cites this paper
• Direct and indirect effects of invasions of predators on a multiple-species community

  1989cites this paper
• The Role of Predation in Organizing Biological Communities(Mathematical Topics in Biology)

  1989cites this paper
• BY A DIFFUSIVE PREDATOR

  1987cites this paper
• The dynamics of predation and competition in patchy environments

  1987cites this paper
• Segregation Structures of Competing Species Mediated by a Diffusive Predator

  1987cites this paper
• Prey communities in patchy environments

  1987cites this paper
• GENERALIST AND SPECIALIST NATURAL ENEMIES IN INSECT PREDATOR-PREY INTERACTIONS

  1986cites this paper
• Predation-Mediated Coexistence and Segregation Structures

  1986cites this paper
• Dynamics and stability of ecological models

  1986cites this paper
• Predator-Mediated Coexistence of Competing Species in a Volterra Model

  1985cites this paper
• Influence of predation on species coexistence in Volterra models

  1984cites this paper
• Host-Parasitoid Population Interactions

  1984cites this paper
• A criterion for permanent coexistence of species, with an application to a two-prey one-predator system

  1983cites this paper
• Global Stability of a System of Two Interacting Species with Convective and Dispersive Migration

  1983cites this paper
• Oscillations in Prey-Predator Volterra Models

  1983cites this paper
• Existence and bifurcation of stable equilibrium in two-prey, one-predator communities

  1983cites this paper
• On the occurrence of limit cycles in the Volterra-Lotka equation

  1981cites this paper
• Predator-mediated coexistence and extinction☆

  1981cites this paper
• EFFECTS OF COMPETITION AND PREDATION ON DIVERSITY OF COMMUNITIES

  1981cites this paper
• Switching effect of predation on competitive prey species.

  1979cites this paper