Permanence and periodicity of a delayed ratio-dependent predator-prey model with stage structure

No abstract is available for this paper.

• Publication year

  2005

• Venue

  Journal of Mathematical Analysis and Applications

• Publication date

  2005-03-15

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1016/J.JMAA.2004.08.062
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A ratio-dependent food chain model and its applications to biological control.

  2003cited by this paper
• Persistence and global stability for n-species ratio-dependent predator–prey system with time delays

  2002cited by this paper
• Extinction and permanence in nonautonomous competitive system with stage structure

  2002cited by this paper
• STABILITY AND BIFURCATION IN A DELAYED RATIO-DEPENDENT PREDATOR–PREY SYSTEM

  2002cited by this paper
• Recent progress on stage-structured population dynamics

  2002cited by this paper
• Modelling and analysis of a single-species system with stage structure and harvesting

  2002cited by this paper
• Optimal harvesting and stability for a two-species competitive system with stage structure.

  2001cited by this paper
• Parametric analysis of the ratio-dependent predator–prey model

  2001cited by this paper
• Global analysis of the Michaelis–Menten-type ratio-dependent predator-prey system

  2001cited by this paper
• Rich dynamics of a ratio-dependent one-prey two-predators model

  2001cited by this paper
• Periodicity in a Delayed Ratio-Dependent Predator–Prey System☆☆☆

  2001cited by this paper
• Global dynamics of a ratio-dependent predator-prey system

  2001cited by this paper
• Permanence and Stability of a Stage-Structured Predator–Prey Model

  2001influential reference
• Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment

  2000cited by this paper
• Destabilizing effect of cannibalism on a structured predator-prey system.

  1999cited by this paper
• About deterministic extinction in ratio-dependent predator-prey models

  1999cited by this paper
• Global analyses in some delayed ratio-dependent predator-prey systems

  1998cited by this paper
• Global qualitative analysis of a ratio-dependent predator–prey system

  1998cited by this paper
• A predator-prey system with stage-structure for predator

  1997cited by this paper
• Stability and Delays in a Predator-Prey System

  1996cited by this paper
• Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment

  1995cited by this paper
• Empirical Evidence of the Role of Heterogeneity in Ratio‐Dependent Consumption

  1993cited by this paper
• Physiological Basis of Ratio-Dependent Predator-Prey Theory: The Metabolic Pool Model as a Paradigm

  1992cited by this paper
• Analysis of a model representing stage-structured population growth with state-dependent time delay

  1992cited by this paper
• Functional responses and heterogeneities: an experimental test with cladocerans

  1991cited by this paper
• Persistence and global asymptotic stability of single species dispersal models with stage structure

  1991cited by this paper
• Variation in Plankton Densities Among Lakes: A Case for Ratio-Dependent Predation Models

  1991cited by this paper
• The functional response of predators: Worries about scale

  1991cited by this paper
• A time-delay model of single-species growth with stage structure.

  1990influential reference
• Coupling in predator-prey dynamics: Ratio-Dependence

  1989cited by this paper
• Space-limited recruitment in open systems: the importance of time delays

  1989cited by this paper
• Stability of stage-structured population models

  1987cited by this paper
• Global stability of two species systems

  1977cited by this paper
• Periodic Time-Dependent Predator-Prey Systems

  1977cited by this paper
• Coincidence Degree and Nonlinear Differential Equations

  1977cited by this paper
• Global stability in two species interactions

  1976cited by this paper

• Multiple stability switches and Hopf bifurcation in an age structured prey-predator system: effects of maturation and cooperative hunting delay

  2024cites this paper
• Dynamics of a stage-structured SI model for food adulteration with media-induced response function

  2021cites this paper
• Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional

  2021cites this paper
• Multiperiodicity to a Certain Delayed Predator–Prey Model

  2019cites this paper
• The Existence of Positive Periodic Solutions for the Non-Autonomous Time-Delayed Predator-Prey Model

  2019cites this paper
• Multiperiodicity to a Certain Delayed Predator–Prey Model

  2019influential citation
• Permanence and extinction in a periodic ratio-dependent population system with stage structure

  2019cites this paper
• Stage-structured control on a class of predator-prey system in almost periodic environment

  2018cites this paper
• Threshold dynamics of a predator–prey model with age-structured prey

  2018cites this paper
• A matter of maturity: To delay or not to delay? Continuous‐time compartmental models of structured populations in the literature 2000–2016

  2018cites this paper
• Permanence, Periodicity and Extinction of a Delayed Biological System with Stage-Structured Preference for Predator

  2016cites this paper
• Uniform Persistence, Periodicity and Extinction in a Delayed Biological System with Stage Structure and Density-Dependent Juvenile Birth Rate

  2016cites this paper
• Permanence and extinction for a delayed periodic predator-prey system

  2015cites this paper
• Permanence and extinction analysis for a periodic competing predator–prey system with stage structure

  2015cites this paper
• Dynamic behaviors of a stage-structured cooperation model

  2015cites this paper
• A stage-structured predator–prey model with distributed maturation delay and harvesting

  2015cites this paper
• Multiple periodic solutions of a delayed predator–prey model with non-monotonic functional response and stage structure

  2014influential citation
• Qualitative Analysis for A Lotka-Volterra Model with Time Delays

  2014cites this paper
• Global attractivity in almost periodic single species models

  2013cites this paper
• Permanence and extinction analysis for a delayed ratio-dependent cooperative system with stage structure

  2013cites this paper
• Partial survival and extinction of a delayed predator-prey model with stage structure

  2012cites this paper
• Multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses

  2011cites this paper
• Permanence and periodic solutions in models with stage structure, delay, and pulse action

  2011cites this paper
• Permanence of periodic predator–prey system with two predators and stage structure for prey☆

  2010cites this paper
• A non-autonomous competitive system with stage structure and distributed delays

  2010cites this paper
• Periodic solution of a delayed ratio-dependent predator–prey model with monotonic functional response and impulse

  2009cites this paper
• A nonautonomous predator-prey system with stage structure and double time delays

  2009cites this paper
• Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure

  2009cites this paper
• Permanence, extinction and periodic solution of the predator–prey system with Beddington–DeAngelis functional response and stage structure for prey

  2008cites this paper
• Permanence and existence of a positive periodic solution to a periodic stage-structured system with infinite delay

  2008cites this paper