Search Results - "rosenzweig-macarthur model"

Importance of pesticide and additional food in pest-predator system: a theoretical study

Authors: K. Durga Prasad B. S. R. V. Prasad Kritish De

Source: Journal of Biological Dynamics, Vol 19, Iss 1 (2025)

Subject Terms: Integrated pest management, population dynamics, predator–prey interaction, Rosenzweig–MacArthur model, additional food, 92D25, Environmental sciences, GE1-350, Biology (General), QH301-705.5

File Description: electronic resource

Relation: https://doaj.org/toc/1751-3758; https://doaj.org/toc/1751-3766

Access URL: https://doaj.org/article/d1d9d7fcfca5401f987244761f43e713

Hopf bifurcation and Turing pattern of a diffusive Rosenzweig-MacArthur model with fear factor

Authors: Jing Zhang Shengmao Fu

Source: AIMS Mathematics, Vol 9, Iss 11, Pp 32514-32551 (2024)

Subject Terms: hyperbolic tangent functional response, rosenzweig-macarthur model, QA1-939, fear effect, turing instability, steady state, hopf bifurcation, Mathematics

Access URL: https://doaj.org/article/02b42eb719304f3893d461ef96bfc930

Keep, break and breakout in food chains with two and three species

Authors: Maoxiang Wang Zhipeng Qiu Meng Xu et al.

Source: Mathematical Biosciences and Engineering, Vol 18, Iss 1, Pp 817-836 (2021)

Subject Terms: rosenzweig-macarthur model, Food Chain, Reproduction, Population Dynamics, 0206 medical engineering, 02 engineering and technology, Models, Biological, food chain, Predatory Behavior, QA1-939, Animals, predator-prey, wavefront propagation, TP248.13-248.65, Mathematics, Biotechnology

Access URL: https://pubmed.ncbi.nlm.nih.gov/33525120
https://doaj.org/article/e5e6e3a21ea5435a8f28f4b19e85147b
https://europepmc.org/article/MED/33525120
https://www.aimspress.com/article/doi/10.3934/mbe.2021043
https://www.aimspress.com/data/article/export-pdf?id=5fe32200ba35de4f9de2f932

Hopf bifurcation and stability analysis of the Rosenzweig-MacArthur predator-prey model with stage-structure in prey

Authors: Lazarus Kalvein Beay Trisilowati Trisilowati Isnani Darti et al.

Source: Mathematical Biosciences and Engineering, Vol 17, Iss 4, Pp 4080-4097 (2020)

Subject Terms: rosenzweig-macarthur model, Food Chain, Population Dynamics, hopf-bifurcation, stability analysis, Models, Biological, 01 natural sciences, Predatory Behavior, 0103 physical sciences, QA1-939, predator-prey model, Animals, TP248.13-248.65, Mathematics, Ecosystem, stage-structure in prey, Biotechnology

Access URL: https://pubmed.ncbi.nlm.nih.gov/32987569
https://doaj.org/article/aa091484a6cf40739497a9e1630a5561
https://pubmed.ncbi.nlm.nih.gov/32987569/
https://www.ncbi.nlm.nih.gov/pubmed/32987569
https://www.aimspress.com/article/10.3934/mbe.2020226

Rosenzweig-MacArthur model with variable disappearance rate

Authors: Hammoum, Amina Sari, Tewfik Yadi, Karim et al.

Contributors: Hammoum, Amina Sari, Tewfik Yadi, Karim et al.

Source: African Conference on Research in Computer Science and Applied Mathematics - CARI 2022 ; https://hal.science/hal-03712243 ; African Conference on Research in Computer Science and Applied Mathematics - CARI 2022, Oct 2022, Tunis, Tunisia

Subject Terms: Rosenzweig -MacArthur model, General disappearance rate, Bazykin's model, Variable-territory model, [MATH]Mathematics [math]

Subject Geographic: Tunis, Tunisia

Availability: https://hal.science/hal-03712243
https://hal.science/hal-03712243v1/document
https://hal.science/hal-03712243v1/file/HammoumSariYadi_CARI%202022.pdf

Modelling Holling type II functional response in deterministic and stochastic food chain models with mass conservation

Authors: Stollenwerk, N. Aguiar, M. Kooi, B. W.

Source: Stollenwerk, N, Aguiar, M & Kooi, B W 2022, 'Modelling Holling type II functional response in deterministic and stochastic food chain models with mass conservation', Ecological Complexity, vol. 49, 100982, pp. 1-13. https://doi.org/10.1016/j.ecocom.2022.100982

Subject Terms: Holling type II, Mass-balance prey-predator model, Predator-prey body size ratio, Rosenzweig-MacArthur model, Stochastic prey-predator model, /dk/atira/pure/sustainabledevelopmentgoals/life_on_land, name=SDG 15 - Life on Land

Availability: https://research.vu.nl/en/publications/d3dba56b-82fd-4ca8-899d-1e33f7b854b9
https://doi.org/10.1016/j.ecocom.2022.100982
https://hdl.handle.net/1871.1/d3dba56b-82fd-4ca8-899d-1e33f7b854b9
http://www.scopus.com/inward/record.url?scp=85124426718&partnerID=8YFLogxK
http://www.scopus.com/inward/citedby.url?scp=85124426718&partnerID=8YFLogxK

Positive symplectic integrators for predator-prey dynamics

Authors: FDiele CMarangi

Source: Discrete and continuous dynamical systems (2017). doi:10.3934/dcdsb.2017185
info:cnr-pdr/source/autori:F.Diele, C.Marangi/titolo:Positive symplectic integrators for predator-prey dynamics/doi:10.3934%2Fdcdsb.2017185/rivista:Discrete and continuous dynamical systems/anno:2017/pagina_da:/pagina_a:/intervallo_pagine:/volume
Discrete and Continuous Dynamical Systems-Series B

Subject Terms: predator-prey dynamics, Rosenzweig-MacArthur model, Positive numerical integration, 0101 mathematics, 16. Peace & justice, 01 natural sciences

File Description: application/pdf

Access URL: https://www.aimsciences.org/article/exportPdf?id=a51bba99-6be3-4ff7-b38a-dfb86b89fc10
https://www.aimsciences.org/article/exportPdf?id=a51bba99-6be3-4ff7-b38a-dfb86b89fc10
https://core.ac.uk/display/154321531
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2017185
https://hdl.handle.net/20.500.14243/328345
https://doi.org/10.3934/dcdsb.2017185

Dynamics of a stage–structure Rosenzweig–MacArthur model with linear harvesting in prey and cannibalism in predator

Authors: Beay, Lazarus Kalvein Saija, Maryone

Source: Jambura Journal of Biomathematics (JJBM); Volume 2, Issue 1: June 2021; 42-50 ; 2723-0317 ; 10.34312/jjbm.v2i1

Subject Terms: Stage-structure, Rosenzweig-MacArthur model, linear harvesting, cannibalism, stability, Hopf-bifurcation

File Description: application/pdf

Relation: https://ejurnal.ung.ac.id/index.php/JJBM/article/view/10470/3015; https://ejurnal.ung.ac.id/index.php/JJBM/article/view/10470

Availability: https://ejurnal.ung.ac.id/index.php/JJBM/article/view/10470
https://doi.org/10.34312/jjbm.v2i1.10470

The effect of seasonal strength and abruptness on predator–prey dynamics

Authors: Sauve, Alix M.C. Taylor, Rachel Barraquand, Frederic et al.

Contributors: Sauve, Alix M.C. Taylor, Rachel Barraquand, Frederic et al.

Source: ISSN: 0022-5193.

Subject Terms: Abrupt periodic forcing, Seasonality, Rosenzweig-MacArthur model, Lotka-Volterra model, Predator-prey, [SDV.EE]Life Sciences [q-bio]/Ecology, environment

Availability: https://hal.science/hal-03001029
https://hal.science/hal-03001029v1/document
https://hal.science/hal-03001029v1/file/JTB-D-19-006440R1.pdf
https://doi.org/10.1016/j.jtbi.2020.110175

A Stage-Structure Rosenzweig-MacArthur Model with Effect of Prey Refuge

Authors: Beay, Lazarus Kalvein Saija, Maryone

Source: Jambura Journal of Biomathematics (JJBM); Volume 1, Issue 1: June 2020; 1-7 ; 2723-0317 ; 10.34312/jjbm.v1i1

Subject Terms: Rosenzweig-MacArthur Model, Stage-Structure, Refuge, Routh-Hurwitz Criterion

File Description: application/pdf

Relation: https://ejurnal.ung.ac.id/index.php/JJBM/article/view/6891/2112; https://ejurnal.ung.ac.id/index.php/JJBM/article/view/6891

Availability: https://ejurnal.ung.ac.id/index.php/JJBM/article/view/6891
https://doi.org/10.34312/jjbm.v1i1.6891

A Rosenzweig–MacArthur Model with Continuous Threshold Harvesting in Predator Involving Fractional Derivatives with Power Law and Mittag–Leffler Kernel

Authors: Hasan S. Panigoro Agus Suryanto Wuryansari Muharini Kusumawinahyu et al.

Source: Axioms, Vol 9, Iss 122, p 122 (2020)

Subject Terms: Rosenzweig–MacArthur model, fractional derivatives, threshold harvesting, Mathematics, QA1-939

Relation: https://www.mdpi.com/2075-1680/9/4/122; https://doaj.org/toc/2075-1680; https://doaj.org/article/f9da4d0a3865423b9a0b7fe0623ad74c

Availability: https://doi.org/10.3390/axioms9040122
https://doaj.org/article/f9da4d0a3865423b9a0b7fe0623ad74c

Numerical bifurcation analysis of a tri-trophic food web with omnivory

Authors: Martin P. Boer Sebastiaan A.L.M. Kooijman Lothar D. J. Kuijper et al.

Source: Mathematical Biosciences. :201-228

Subject Terms: 0106 biological sciences, 0301 basic medicine, Bifurcation theory for ordinary differential equations, Food Chain, food web, Ecology, Numerical Analysis, Computer-Assisted, persistence, invasion, omnivory, Rosenzweig-MacArthur model, Models, Biological, 01 natural sciences, chermostat, 03 medical and health sciences, Predatory Behavior, Qualitative investigation and simulation of ordinary differential equation models, community assembly, Animals, SDG 15 - Life on Land

File Description: application/xml

Access URL: https://pubmed.ncbi.nlm.nih.gov/11965256
https://research.vu.nl/en/publications/b77eff72-1994-428e-b796-e7e345fb01fc
https://hdl.handle.net/1871/29959
https://doi.org/10.1016/S0025-5564(01)00111-0
http://www.sciencedirect.com/science/article/pii/S0025556401001110
https://www.narcis.nl/publication/RecordID/oai%3Aresearch.vu.nl%3Apublications%2Fb77eff72-1994-428e-b796-e7e345fb01fc
https://research.vu.nl/en/publications/numerical-bifurcation-analysis-of-a-tri-trophic-food-web-with-omn
https://www.sciencedirect.com/science/article/pii/S0025556401001110
https://www.ncbi.nlm.nih.gov/pubmed/11965256

Predator migration in response to prey density: What are the consequences?

Authors: Yunxin Huang Odo Diekmann

Source: Journal of Mathematical Biology. 43:561-581

Subject Terms: 0301 basic medicine, Ecology, limit cycles, Population Dynamics, Wiskunde en computerwetenschappen, stability of equilibria, Models, Theoretical, Rosenzweig-MacArthur model, Dynamical systems in biology, predator migration, 03 medical and health sciences, Population dynamics (general), Landbouwwetenschappen, Wiskunde: algemeen, Predatory Behavior, Qualitative investigation and simulation of ordinary differential equation models, predator-prey model, Animals, Wiskunde en Informatica (WIIN), time budget, bifurcations, Mathematics

File Description: application/xml

Access URL: https://pubmed.ncbi.nlm.nih.gov/11822547
https://zbmath.org/1773173
https://doi.org/10.1007/s002850100107
https://research-portal.uu.nl/en/publications/6886a5bc-cb37-4d07-8da5-fd0ed4252256
https://pubmed.ncbi.nlm.nih.gov/11822547/
https://www.ncbi.nlm.nih.gov/pubmed/11822547
https://link.springer.com/article/10.1007%2Fs002850100107

Belyakov Homoclinic Bifurcations in a Tritrophic Food Chain Model: Belyakov homoclinic bifurcations in a tritrophic food chain model

Authors: Kuznetsov, Y.A. Feo, O. de Rinaldi, S.

Source: SIAM Journal on Applied Mathematics. 62:462-487

Subject Terms: Bifurcation theory for ordinary differential equations, Belyakov bifurcation, Wiskunde en computerwetenschappen, homoclinic bifurcations, Homoclinic and heteroclinic solutions to ordinary differential equations, Rosenzweig-MacArthur model, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, tritrophic food chain model, Population dynamics (general), Complex behavior and chaotic systems of ordinary differential equations, Landbouwwetenschappen, Wiskunde: algemeen, Bifurcations of limit cycles and periodic orbits in dynamical systems, 0103 physical sciences, population dynamics, numerical continuation techniques, tritrophic food chain, Wiskunde en Informatica (WIIN), continuation, Wiskunde en Informatica, Mathematics

File Description: application/xml; application/octet-stream

Access URL: https://research-portal.uu.nl/en/publications/504b54fd-b171-45a0-8af4-36cdfccdd55b
https://hdl.handle.net/11311/558217
https://dspace.library.uu.nl/handle/1874/2520

Singular homoclinic bifurcations in tritrophic food chains

Authors: DE FEO O. RINALDI, SERGIO

Source: Mathematical Biosciences. 148:7-20

Subject Terms: 0301 basic medicine, 0303 health sciences, food chain model, homoclinic orbits, Ecology, Feeding Behavior, Rosenzweig-MacArthur model, Models, Biological, Dynamical systems in biology, Time, 03 medical and health sciences, Food, Predatory Behavior, Animals, Mathematics

File Description: application/xml

Access URL: http://dspace.library.uu.nl/bitstream/handle/1874/2520/1158.pdf%3Bjsessionid%3D6962699D7092FE27CD790A56F45C7E05?sequence%3D2
https://pubmed.ncbi.nlm.nih.gov/9597822
https://www.sciencedirect.com/science/article/pii/S0025556497100013
http://pure.iiasa.ac.at/id/eprint/4951/
http://www.sciencedirect.com/science/article/pii/S0025556497100013
https://re.public.polimi.it/handle/11311/526645
https://www.ncbi.nlm.nih.gov/pubmed/9597822
https://infoscience.epfl.ch/record/28988
https://hdl.handle.net/11311/526645

Migrations in the Rosenzweig-MacArthur model and the 'atto-fox' problem ; Migrations dans le modèle de Rosenzweig-MacArthur et le probème de l''atto-fox'

Authors: Lobry, Claude Sari, Tewfik Université Nice Sophia Antipolis (1965 - 2019) (UNS) et al.

Contributors: Lobry, Claude Sari, Tewfik Université Nice Sophia Antipolis (1965 - 2019) (UNS) et al.

Source: EISSN: 1638-5713 ; Revue Africaine de Recherche en Informatique et Mathématiques Appliquées ; https://inria.hal.science/hal-01235211 ; Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît, pp.95-125. ⟨10.46298/arima.1990⟩

Subject Terms: "atto-fox" problem, Rosenzweig-MacArthur model, nonstandard analysis, limit cycles, singular perturbations, canards, analyse non standard, cycles limites, perturbations singulières, migration, problème "atto-fox", Modèle de Rosenzweig-MacArthur, [INFO]Computer Science [cs], [MATH]Mathematics [math], [SDE]Environmental Sciences

Relation: IRSTEA: PUB00045654; PRODINRA: 334842

Availability: https://inria.hal.science/hal-01235211
https://inria.hal.science/hal-01235211v2/document
https://inria.hal.science/hal-01235211v2/file/vol.20.pp.95-125.pdf
https://doi.org/10.46298/arima.1990

An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking

Authors: W. L. Hogarth J. Norbury Mary R. Myerscough et al.

Source: Journal of Mathematical Biology. 30

Subject Terms: Bifurcation theory for ordinary differential equations, Ecology, limit cycles, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, harvesting, Rosenzweig-MacArthur model, 01 natural sciences, two-species predator-prey system, stocking, Population dynamics (general), saturation rate of predation, degeneracy, carrying capacity, steady state solutions, 14. Life underwater, 0101 mathematics, singularity theory approach

File Description: application/xml

Access URL: https://zbmath.org/34880
https://doi.org/10.1007/bf00173294
https://link.springer.com/article/10.1007/BF00173294

Modeling toxic stress by atrazine in a marine consumer-resource system

Authors: De Hoop, Lisette De Troch, Marleen Hendriks, Jan et al.

Source: ENVIRONMENTAL TOXICOLOGY AND CHEMISTRY ; ISSN: 0730-7268

Subject Terms: Biology and Life Sciences, Carrying capacity, Intrinsic rate of increase, Rosenzweig-MacArthur model, Food web, Consumer resource, PREDATOR-PREY SYSTEM, HARPACTICOID COPEPODS, POPULATION-DYNAMICS, FATTY-ACIDS, COMMUNITIES, ROTIFERS, GROWTH, SIZE, METAANALYSIS, ECOSYSTEMS

File Description: application/pdf

Relation: https://biblio.ugent.be/publication/3149785; http://doi.org/10.1002/etc.2160; https://biblio.ugent.be/publication/3149785/file/3209985

Availability: https://biblio.ugent.be/publication/3149785
http://hdl.handle.net/1854/LU-3149785
https://doi.org/10.1002/etc.2160
https://biblio.ugent.be/publication/3149785/file/3209985

ShapeOfSeasonality

Authors: Alix Sauve Rachel Taylor orcid:0000-0002-5542- et al.

Subject Terms: Predator–prey, Lotka–Volterra model, Rosenzweig–MacArthur model, Seasonality, Abrupt periodic forcing

Relation: https://github.com/alixsauve/ShapeOfSeasonality/tree/v1.1; https://zenodo.org/records/3687867; oai:zenodo.org:3687867; https://doi.org/10.5281/zenodo.3687867

Availability: https://doi.org/10.5281/zenodo.3687867
https://zenodo.org/records/3687867

Global existence of a positive periodic solution to a predator-prey system with Holling type II functional response

Authors: Fan, Meng Wang, Ke

Subject Terms: global existence, Population dynamics (general), positive periodic solution, Periodic solutions to ordinary differential equations, Rosenzweig-MacArthur model, Periodic solutions to functional-differential equations, periodic predator-prey system

File Description: application/xml

Access URL: https://zbmath.org/1713462