Constant rate population harvesting: equilibrium and stability.

No abstract is available for this paper.

• Publication year

  1975

• Venue

  Theoretical Population Biology

• Publication date

  1975-08-01

• Fields of study

  Biology, Mathematics, Medicine, Environmental Science

• Identifiers
  DOI 10.1016/0040-5809(75)90036-2PMID 1179269
• 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.

• Competition between species: theoretical models and experimental tests.

  1973cited by this paper
• Global models of growth and competition.

  1973cited by this paper
• Time‐Delay Versus Stability in Population Models with Two and Three Trophic Levels

  1973cited by this paper
• Competition, Coexistence, and Evolution

  1970cited by this paper
• Differential-Difference Equations

  1967cited by this paper
• Elements of mathematical biology

  1956cited by this paper
• Roots of the Transcendental Equation Associated with a Certain Difference‐Differential Equation

  1950cited by this paper
• CIRCULAR CAUSAL SYSTEMS IN ECOLOGY

  1948cited by this paper
• Elements of Physical Biology.

  1925cited by this paper

• Optimal Harvesting in Stream Networks: Maximizing Biomass and Yield

  2026cites this paper
• Sustainability or Otherwise: The Lotka-Volterra Model in Population Ecology and Socio-Economic Systems

  2025cites this paper
• Organized structures and different types of multistability in a one-dimensional ecological model — A parameter plane study

  2025cites this paper
• Predictive modeling of molds effective elimination by external inactivation sources

  2024cites this paper
• A generalised sigmoid population growth model with energy dependence: Application to quantify the tipping point for Antarctic shallow seabed algae

  2024cites this paper
• Approximate solutions of generalized logistic equation

  2024cites this paper
• Making Predictions Using Poorly Identified Mathematical Models

  2024cites this paper
• Early Predictor for the Onset of Critical Transitions in Networked Dynamical Systems

  2024cites this paper
• A celebration of Fred Brauer’s legacy in mathematical biology

  2023cites this paper
• Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect

  2023cites this paper
• An Eco-Epidemiological Model Incorporating Harvesting Factors

  2021cites this paper
• Qualitative behavior of a two-dimensional discrete-time prey-predator model

  2021cites this paper
• Equity and Sustainability: An Exposition

  2020cites this paper
• Modeling the Dynamics of Banana Weevil, @let@token Cosmopolites Sordidus (Germar), by Trapping with Holling Type II Response Function

  2020cites this paper
• Analysis of Logistic Model with Constant Harvesting in a View of Non-Integer Derivative

  2020cites this paper
• The effect of maps permutation on the global attractor of a periodic Beverton-Holt model

  2019cites this paper
• Stability, bifurcation and chaos control in a discrete-time prey-predator model with Holling type-II response

  2019cites this paper
• Modelos presa-predador: dinâmica e bifurcações

  2019cites this paper
• The dynamics of an Omnivore-predator-prey model with harvesting and two different nonlinear functional responses

  2019cites this paper
• Stability and Bifurcation for a Single-Species Model with Delay Weak Kernel and Constant Rate Harvesting

  2019cites this paper
• Dynamical analysis of a logistic model with impulsive Holling type-II harvesting

  2018cites this paper
• Predator-prey equations with constant harvesting and planting.

  2018cites this paper
• The impact of constant effort harvesting on the dynamics of a discrete‐time contest competition model

  2017cites this paper
• MSGDTM for Solution of Frictional Order Dengue Disease Model

  2017cites this paper
• Mathematical Model for Managing the Renewable Resources

  2017cites this paper
• Unexpected Management Choices When Accounting for Uncertainty in Ecosystem Service Tradeoff Analyses

  2017cites this paper
• Novel dynamics of a predator–prey system with harvesting of the predator guided by its population

  2017cites this paper
• Stability of Prey-Predator Model with Holling type Response Function and Selective Harvesting

  2017influential citation
• Logistic growth with a slowly varying Holling type II harvesting term

  2017cites this paper
• Population models with quasi-constant-yield harvest rates.

  2016cites this paper
• Fractional Order SIR Model with Constant Population

  2016cites this paper
• Flow characteristics in a crowded transport model

  2015cites this paper
• Modelling the impacts of fish aggregating devices (FADs) and fish enhancing devices (FEDs) and their implications for managing small-scale fishery

  2014cites this paper
• Mathematical modelling of population and disease control in patchy environments

  2014cites this paper
• Modelling the harvest of an insect pathogen

  2014cites this paper
• Differential equation population models in a slowly varying environment

  2013influential citation
• Forecasting the evolution of nanotechnology

  2013cites this paper
• The dynamics of some discrete models with delay under the effect of constant yield harvesting

  2013cites this paper
• Dynamics of a Single Species in a Fluctuating Environment under Periodic Yield Harvesting

  2013cites this paper
• Harvesting a logistic population in a slowly varying environment

  2012cites this paper
• An introduction to dynAmicAl system s Applied to exploited populAtions

  2012cites this paper
• Dynamics of a single species under periodic habitat fluctuations and Allee effect

  2012influential citation
• Harvesting in a Periodic Habitat with Allee Effect

  2012cites this paper
• Alternative transmission modes for Trypanosoma cruzi.

  2010cites this paper
• The saddle-node-transcritical bifurcation in a population model with constant rate harvesting

  2010cites this paper
• Multi-scaling methods applied to population models

  2009cites this paper
• The Beverton–Holt model with periodic and conditional harvesting

  2009cites this paper
• Effect of periodic environmental fluctuations on the Pearl–Verhulst model☆

  2009cites this paper
• Qualitative Tools for Studying Periodic Solutions and Bifurcations as Applied to the Periodically Harvested Logistic Equation

  2008cites this paper
• The Effect Of Constant Yield Harvesting Analysis In The Spruce Budworm Population Dynamics

  2008cites this paper
• On linear perturbations of the Ricker model.

  2006cites this paper
• PERIODIC ENVIRONMENTS AND PERIODIC HARVESTING

  2003cites this paper
• New Directions in the Mathematics of Infectious Disease

  2002cites this paper
• Allee effects in stochastic populations

  2002cites this paper
• Global Stability of Cycles: Lotka-Volterra Competition Model With Stocking

  2002cites this paper
• Fred Brauer: The Man and His Mathematics

  2002cites this paper
• Chaos and population disappearances in simple ecological models

  2001cites this paper
• Achieving global convergence to an equilibrium population in predator-prey systems by the use of a discontinuous harvesting policy

  2000cites this paper
• Mate location, population growth and species extinction

  1998cites this paper
• Global stability in a class of competitive cubic systems

  1997cites this paper
• The effects of planting and harvesting on endangered species in discrete competitive systems.

  1995cites this paper
• PERTURBED MODELS OF TWO OR THREE SPECIES, WITH HARVESTING OR STOCKING, CARRYING CAPACITY, AND LOWER CRITICAL DENSITY

  1992cites this paper
• Comparison principles for impulsive parabolic equations with applications to models of single species growth

  1991cites this paper
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION

  1989cites this paper
• Persistence and extinction in models of two-habitat migration

  1989cites this paper
• Some Applications of Structured Models in Population Dynamics

  1989cites this paper
• Single species migration in two habitats: Persistence and extinction

  1987cites this paper
• Absolute stability in delay equations

  1987cites this paper
• PERSISTENCE IN DISCRETE MODELS OF A POPULATION WHICH MAY BE SUBJECTED TO HARVESTING

  1987cites this paper
• Population Dynamics in a Homogeneous Environment

  1986cites this paper
• One-dimensional linear and logistic harvesting models

  1986cites this paper
• Bioeconomics of renewable resource use

  1985cites this paper
• Periodic Equilibria Under Periodic Harvesting

  1984cites this paper
• Analysis of three species models of mutualism in predator-prey and competitive systems

  1983cites this paper
• Population equilibria and stability in plant-animal pollination systems

  1983cites this paper
• Exact solutions of generalized otka-Volterra competition equations

  1982cites this paper
• Asymptotic behavior of a competition—diffusion system in population dynamics

  1982cites this paper
• Renewable resource depletion: the conservation problem

  1980cites this paper
• The effect of harvesting on competing populations

  1980cites this paper
• Optimal stabilization and harvesting in logistic population models

  1980cites this paper
• Characteristic return times for harvested population models with time lag

  1979cites this paper
• MATHEMATICAL MODELS IN THE ECONOMICS OF RENEWABLE RESOURCES

  1979cites this paper
• Depletion models for ecosystems with continuously delayed resource renewals

  1979cites this paper
• A temporal study of diffusion effects on a population modelled by quadratic growth

  1979cites this paper
• On the stability of a single-species population model with time lag

  1979cites this paper
• The application of equivalent linearization and correction factor techniques to selected predator-prey equations

  1979cites this paper
• Harvesting in Predator{Prey Systems

  1979cites this paper
• Factors Controlling the Stability and Breakdown of Ecosystems

  1978cites this paper
• Linear age-dependent population growth with harvesting

  1978cites this paper
• On a nonlinear differential-integral equation for ecological problems

  1978cites this paper
• Persistence times of populations with large random fluctuations.

  1978cites this paper
• Dynamic equilibrium under periodic perturbations in simple ecosystem models.

  1977cites this paper
• Oscillatory depletion models for renewable ecosystems

  1977cites this paper
• Stability of some population models with delay

  1977cites this paper
• Control targets for the management of biological systems

  1977cites this paper
• Stability in a stock-recruitment model of an exploited fishery

  1977cites this paper
• Thresholds and breakpoints in ecosystems with a multiplicity of stable states

  1977cites this paper
• Constant rate harvesting of populations governed by Volterra integral equations

  1976cites this paper
• De-stabilization of predator-prey systems under enrichment†

  1976cites this paper
• Lotka-volterra equations with time delay and periodic forcing term

  1976cites this paper