Chimera States in Ecological Network Under Weighted Mean-Field Dispersal of Species

In ecological landscapes, species tend to migrate between patches in search of a better survivability condition. By this dispersal process, they form connectivity between the patches and thereby may develop various correlated or partially correlated population dynamics among species living in the patches. We explore various possible emergent collective population patterns using a simple ecological network model of all-to-all connected patches where we use a particular type of dispersal process that is controlled by a weighted mean-field diffusion to include the failed migration between the interacting patches. We represent the population dynamics of both the predator and prey in each patch by a modified Rosenzweig-MacArthur (mRM) model that incorporates an additional effect of habitat complexity. Our investigation on the network dynamics shows various interesting collective patterns, namely, clustered states and chimera states, besides synchrony and homogeneous steady states (HSS) of species. An important observation is that habitat complexity enhances survival probabilities of interacting species and thus increases population persistence in a natural ecosystem.

• Publication year

  2019

• Venue

  Frontiers in Applied Mathematics and Statistics

• Publication date

  2019-03-27

• Fields of study

  Biology, Computer Science, Environmental Science

• Identifiers
  DOI 10.3389/fams.2019.00015
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Networks of coupled oscillators: From phase to amplitude chimeras.

  2018cited by this paper
• Diffusion induced spiral wave chimeras in ecological system

  2018cited by this paper
• Multicluster oscillation death and chimeralike states in globally coupled Josephson Junctions.

  2017cited by this paper
• Increased persistence via asynchrony in oscillating ecological populations with long-range interaction.

  2017cited by this paper
• Imperfect traveling chimera states induced by local synaptic gradient coupling.

  2016cited by this paper
• Chimera patterns induced by distance-dependent power-law coupling in ecological networks.

  2016cited by this paper
• Coherent libration to coherent rotational dynamics via chimeralike states and clustering in a Josephson junction array.

  2016cited by this paper
• Chimera states in population dynamics: Networks with fragmented and hierarchical connectivities.

  2015cited by this paper
• Complete characterization of the stability of cluster synchronization in complex dynamical networks

  2015cited by this paper
• Chimeralike states in a network of oscillators under attractive and repulsive global coupling.

  2015cited by this paper
• Dispersal-induced synchrony, temporal stability, and clustering in a mean-field coupled Rosenzweig-MacArthur model.

  2015influential reference
• Mean-field dispersion-induced spatial synchrony, oscillation and amplitude death, and temporal stability in an ecological model.

  2015influential reference
• Spatial coexistence of synchronized oscillation and death: A chimeralike state.

  2015cited by this paper
• Transition from amplitude to oscillation death in a network of oscillators.

  2014cited by this paper
• Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators

  2014cited by this paper
• Habitat complexity, dispersal and metapopulations: Macroscopic study of a predator–prey system

  2014cited by this paper
• Chimeralike states in an ensemble of globally coupled oscillators.

  2014cited by this paper
• Diverse routes of transition from amplitude to oscillation death in coupled oscillators under additional repulsive links.

  2014cited by this paper
• Oscillation death in diffusively coupled oscillators by local repulsive link.

  2013cited by this paper
• Oscillation quenching mechanisms: Amplitude vs. oscillation death

  2013cited by this paper
• Electronic Implementation of a Repressilator with Quorum Sensing Feedback

  2013cited by this paper
• Population synchrony and stability in environmentally forced metacommunities

  2013cited by this paper
• Chimera states: the existence criteria revisited.

  2013cited by this paper
• Cluster synchronization and isolated desynchronization in complex networks with symmetries

  2013cited by this paper
• Amplitude-mediated chimera states.

  2013cited by this paper
• Amplitude death: The emergence of stationarity in coupled nonlinear systems

  2012cited by this paper
• Amplitude death with mean-field diffusion.

  2012cited by this paper
• Phase-flip transition in nonlinear oscillators coupled by dynamic environment.

  2012cited by this paper
• Synchronization in ecological systems by weak dispersal coupling with time delay

  2012cited by this paper
• The roles of the Moran effect and dispersal in synchronizing oscillating populations.

  2011cited by this paper
• Loss of coherence in dynamical networks: spatial chaos and chimera states.

  2011cited by this paper
• Small Heterogeneity Has Large Effects on Synchronization of Ecological Oscillators

  2009cited by this paper
• Generalizing Levins metapopulation model in explicit space: models of intermediate complexity.

  2008cited by this paper
• Strong effect of dispersal network structure on ecological dynamics

  2008cited by this paper
• When can dispersal synchronize populations?

  2008cited by this paper
• Multistability and clustering in a population of synthetic genetic oscillators via phase-repulsive cell-to-cell communication.

  2007cited by this paper
• Predation, habitat complexity, and variation in density-dependent mortality of temperate reef fishes.

  2006cited by this paper
• Temporal Autocorrelation Can Enhance the Persistence and Abundance of Metapopulations Comprised of Coupled Sinks

  2005cited by this paper
• Chimera states for coupled oscillators.

  2004cited by this paper
• Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing.

  2004cited by this paper
• Spatial Synchrony in Population Dynamics

  2004cited by this paper
• Effects of Habitat Fragmentation on Biodiversity

  2003cited by this paper
• Predicting Which Species Will Benefit from Corridors in Fragmented Landscapes from Population Growth Models

  2003cited by this paper
• Extinction

  2003cited by this paper
• Long‐term dynamics in rock pool Daphnia metapopulations

  2003cited by this paper
• Metapopulation persistence in dynamic landscapes: the role of dispersal distance

  2002cited by this paper
• Self-organized and driven phase synchronization in coupled maps.

  2002cited by this paper
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators

  2002cited by this paper
• The dynamics of two diffusively coupled predator-prey populations.

  2001cited by this paper
• Diversity of vegetation patterns and desertification.

  2001cited by this paper
• The Influence of Structural Complexity on Fish–zooplankton Interactions: A Study Using Artificial Submerged Macrophytes

  2000cited by this paper
• Coherence and conservation.

  2000cited by this paper
• Complex dynamics and phase synchronization in spatially extended ecological systems

  1999cited by this paper
• Metapopulation dynamics

  1998cited by this paper
• The spatial dimension in population fluctuations

  1997cited by this paper
• Synchronous dynamics and rates of extinction in spatially structured populations

  1997cited by this paper
• Attractor-Repeller Collision and Eyelet Intermittency at the Transition to Phase Synchronization

  1997cited by this paper
• Persistence of an Extinction-Prone Predator-Prey Interaction Through Metapopulation Dynamics

  1996cited by this paper
• Behavior of fish predators and their prey: habitat choice between open water and dense vegetation

  1989cited by this paper
• Chemical Oscillations, Waves, and Turbulence

  1984cited by this paper
• The Role of Habitat Complexity and Heterogeneity in Structuring Tropical Mammal Communities

  1983cited by this paper
• Habitat structural complexity and the interaction between bluegills and their prey

  1982cited by this paper
• Graphical Representation and Stability Conditions of Predator-Prey Interactions

  1963cited by this paper
• F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig Clustered Chimera States in Delay-coupled Oscillator Systems

  year unknowncited by this paper

• Turing-Hopf interactions and climate-mediated pattern formation and species extinction in spatial predator–prey systems

  2026cites this paper
• Predicting collective states of a star network using reservoir computing.

  2025cites this paper
• Symmetry breaking in a metapopulation model with fitness-dependent dispersal.

  2025cites this paper
• Enhanced persistence in a metapopulation with higher-order interactions

  2025cites this paper
• Emergence and robustness of solitary states and cluster states in prey-predator model

  2025cites this paper
• Effect of dispersal-induced death in predator–prey metapopulation system with bistable local dynamics

  2025cites this paper
• Chimera-like states in networks of oscillators with mixed repulsive coupling

  2025cites this paper
• Chimeric states induced by higher-order interactions in coupled prey-predator systems.

  2024cites this paper
• Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations

  2024cites this paper
• Chimeras in globally coupled oscillators: A review.

  2023cites this paper
• Two-attractor chimera and solitary states in a network of nonlocally coupled birhythmic van der Pol oscillators

  2023cites this paper
• Resilience in Multiplex Networks by Addition of Cross-Repulsive Links

  2022cites this paper
• Smallest Chimeras Under Repulsive Interactions

  2021cites this paper
• Chimera and cluster collective states in a dispersal ecological network under state-dependent feedback control and complex habitat structure

  2021cites this paper
• Chimera states and cluster solutions in Hindmarsh-Rose neural networks with state resetting process

  2021cites this paper
• Chimera-like behavior in a heterogeneous Kuramoto model: The interplay between attractive and repulsive coupling.

  2020cites this paper
• Réduire la dimension des systèmes complexes : un regard sur l'émergence de la synchronisation

  2020cites this paper
• Threefold way to the dimension reduction of dynamics on networks: An application to synchronization

  2020cites this paper
• Synchronization and Bursting Activity in the Model for Two Predator-Prey Systems Coupled By Predator Migration

  2019cites this paper
• Synchronization Patterns in Modular Neuronal Networks: A Case Study of C. elegans

  2019cites this paper