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Stability in Models of Mutualism

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01273746openalex-snapshot
Discussion of parameter estimation in biological modelling: Algorithms for estimation and evaluation of the estimates
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Connective stability of competitive equilibrium
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Sufficient conditions for D-stability
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The dynamics of two interacting populations
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Nonvulnerability of ecosystems in unpredictable environments
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THE DETERMINISTIC THEORY OF POPULATION DYNAMICS
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Differential Equations, Dynamical Systems, and Linear Algebra
inferredcites →https://doi.org/10.1086/283144openalex-snapshot
Global Stability in Many-Species Systems
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Ecology and Resource Management
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On matrices with non-positive off-diagonal elements and positive principal minors
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The Analysis of Biological Populations.
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Evolution in Changing Environments
inferredcites →https://doi.org/10.7560/710313-011openalex-snapshot
Ecological consequences of a coevolved mutualism between butterflies and plants

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Stability properties of 2-species models of mutualism: Simulation studies
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Population dynamics and the ecological stability of obligate pollination mutualisms
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Eco-evolutionary dynamics further weakens mutualistic interaction and coexistence under population decline
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Periodic Solutions of a Stochastic Food-Limited Mutualism Model
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Dynamical behaviour of a delayed three species predator–prey model with cooperation among the prey species
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A Bifurcation Analysis of a Differential Equations Model for Mutualism
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Stability of a diamond-shaped module with multiple interaction types
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Asymptotic behaviors of a two prey one predator model with cooperation among the prey species in a stochastic environment
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Stability Analysis of Mutualistic Interactions Among Three Species with Limited Resources for First Species and Unlimited Resources for Second and Third Species
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A survey on Lyapunov functions for epidemic compartmental models
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Effects of cooperation on competitive systems
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The dynamics of a plant-pollinator interaction
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Analysis of three species models of mutualism in predator-prey and competitive systems
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On the structure and stability of mutualistic systems: Analysis of predator-prey and competition models as modified by the action of a slow-growing mutualist
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Interdependence among egalitarian societies
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The qualitative approach in investigating the role of species interactions on stability of natural communities
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A co-evolutionary model of mutualism from a commensal association on Lotka-Volterra dynamics
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The concept of sustainable yield in multi-species fisheries
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EVOLUTION OF MUTUALISM BETWEEN SPECIES
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Bibliography
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Species interactions
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Stability and Hopf bifurcation for a delayed cooperation diffusion system with Dirichlet boundary conditions
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Section 9
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Between Correlation and Causality
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Structural stability estimated through critical perturbation determines evolutionary persistence in mutualistic model ecosystems
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Honesty and cheating in cleaning symbioses: evolutionarily stable strategies defined by variable pay-offs
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Predicting abundances of plants and pollinators using a simple compartmental mutualistic model
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Ecological theory of mutualism: Models generalizing across different mechanisms
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Eco-evolutionary dynamics further weakens mutualistic interaction and coexistence under population decline
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Stability and selective extinction in complex mutualistic networks
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Bifurcations and multistability in empirical mutualistic networks
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Effect of population abundances on the stability of large random ecosystems
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Species Coexistence and Extinction Resulting from Higher-Order Lotka-Volterra Two-Faction Competition
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Nonlinear stability and evolution mechanism of regional inland transportation system under resources integration
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On Discrete-Time Polynomial Dynamical Systems on Hypergraphs
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Analysis of Higher Order Lotka–Volterra Models: Application of $\mathcal {S}$-Tensors and the Polynomial Complementarity Problem
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On Metzler Positive Systems on Hypergraphs
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Towards a general modeling framework of resource competition in cognitive development
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Intraspecific variation in species interactions promotes the feasibility of mutualistic assemblages
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Bifurcation structure of steady states for a cooperative model with population flux by attractive transition
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Global dynamics of humoral and cellular immune responses to virus infection
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Asymmetric Coevolutionary Networks Facilitate Biodiversity Maintenance
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On the structural stability of mutualistic systems
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Coral-Bryozoan Mutualism: Structural Innovation and Greater Resource Exploitation
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The ecology of the microbiome: Networks, competition, and stability
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On the Asymptotic Behavior of a Class of Deterministic Models of Cooperating Species
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Competing Subcommunities of Mutualists and a Generalized Kamke Theorem
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Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
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Asymptotic Behavior of Age-Structured and Delayed Lotka--Volterra Models
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Generalized Lotka–Volterra Systems and Complex Balanced Polyexponential Systems
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Global Stability and Permanence for a Class of Type K Monotone Systems
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A review of harvest theory and applications of optimal control theory in fisheries management
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Lotka–Volterra Dynamical Systems
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STABILITY AND HOPF BIFURCATION FOR A DELAYED COOPERATIVE SYSTEM WITH DIFFUSION EFFECTS
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Dynamics and Bifurcations in Filippov Type of Competitive and Symbiosis Systems
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DOES A LARGER CARRYING CAPACITY FOR AN EXOTIC SPECIES ALLOW ENVIRONMENT INVASION? — SOME CONSIDERATIONS ON THE COMPETITION OF RED AND GREY SQUIRRELS
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PERIODIC SOLUTIONS OF A DISCRETE TIME NONAUTONOMOUS TWO-SPECIES MUTUALISTIC SYSTEM WITH DELAYS
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BIFURCATION OF A MUTUALISTIC SYSTEM WITH VARIABLE COEFFICIENTS AND IMPULSIVE EFFECTS
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Global stability for multi-species Lotka–Volterra cooperative systems: One hyper-connected mutualistic-species
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Analysis of a mutualism model with stochastic perturbations
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On the dynamics of a class of perturbed cyclic Lotka-Volterra systems
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Analysis of a mutualism model with time-related coefficients in a stochastic environment
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Stability and bifurcation analysis of a size-stage-structured cooperation model
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Almost Periodic Solutions of a Discrete Mutualism Model with Feedback Controls
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