Search Results - "Turing–Hopf bifurcation"

Turing patterns in an intraguild predator–prey model

Authors: M.F. Carfora F. Iovanna I. Torcicollo

Source: Mathematics and Computers in Simulation. 232:192-210

Subject Terms: Intraguild predation, Turing instability, Turing–Hopf bifurcation, Amplitude equations

File Description: application/pdf

Access URL: https://hdl.handle.net/11588/1011014

Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation

Authors: Weirun Tao Zhi-An Wang

Source: European Journal of Applied Mathematics, Pp 1-27

Subject Terms: global boundedness, 35A01, hunting cooperation, 35K57, Turing–Hopf bifurcation, QA1-939, 35Q92, Prey-taxis, 92D25, Mathematics

Access URL: https://doaj.org/article/5b5ab13bf8464ab7b05ab6de645c6d01

Spatial pattern formation in pine wilt disease model with prey-taxis and nonlocal competition

Authors: Hou, Yanchuang Ding, Yuting Jiang, Weihua

Source: Discrete and Continuous Dynamical Systems - B. 30:3479-3504

Subject Terms: Bifurcations in context of PDEs, Reaction-diffusion equations, Pattern formations in context of PDEs, nonlocal competition, Initial-boundary value problems for second-order parabolic systems, Turing-Hopf bifurcation, multiple time scales method, Developmental biology, pattern formation, Stability in context of PDEs, prey-taxis, pine wilt disease

File Description: application/xml

Access URL: https://zbmath.org/8036726
https://doi.org/10.3934/dcdsb.2025030

Turing-Hopf bifurcation analysis and normal form in delayed diffusive predator–prey system with taxis and fear effect: Turing-Hopf bifurcation analysis and normal form in delayed diffusive predator-prey system with taxis and fear effect

Authors: Yehu Lv

Source: Journal of Applied Mathematics and Computing. 70:5721-5761

Subject Terms: Normal forms for dynamical systems, Population dynamics (general), taxis, normal form, fear effect, Initial-boundary value problems for second-order parabolic systems, Turing-Hopf bifurcation, Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems, time delay, Semilinear parabolic equations, Periodic solutions to PDEs

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Access URL: https://zbmath.org/8036680
https://doi.org/10.1007/s12190-024-02183-4

Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling

Authors: Yun Yang Yanfei Du

Source: Nonlinear Analysis, Vol 29, Iss 2 (2024)

Subject Terms: Bifurcations in context of PDEs, QA299.6-433, Ecology, plankton, diffusion, Turing–Hopf bifurcation, spatiotemporal dynamics, 01 natural sciences, 12. Responsible consumption, nutrient recycling delay, Population dynamics (general), Numerical bifurcation problems, Turing-Hopf bifurcation, 0101 mathematics, Analysis

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Access URL: https://zbmath.org/7843099
https://doaj.org/article/85ad914b4ade42c684b6523ef91838b2

Bifurcation analysis of a diffusive radio-dependent model with spatial memory

Authors: Qi An Xingyu Gu Xuebing Zhang

Source: International Journal of Biomathematics. 17

Subject Terms: normal form, Biology and other natural sciences, spatio-temporal patterns, periodic solutions, Turing-Hopf bifurcation, spatial memory

File Description: application/xml

Access URL: https://zbmath.org/8036550
https://doi.org/10.1142/s1793524524501067

Spatiotemporal dynamics of a diffusive predator-prey model with delay and Allee effect in predator

Authors: Fang Liu Yanfei Du

Source: Mathematical Biosciences and Engineering, Vol 20, Iss 11, Pp 19372-19400 (2023)

Subject Terms: digestion delay, Food Chain, Population Dynamics, stability switches, turing-hopf bifurcation, Models, Biological, normal form, Predatory Behavior, QA1-939, Animals, allee effect in predator, TP248.13-248.65, Mathematics, Ecosystem, Biotechnology

Access URL: https://pubmed.ncbi.nlm.nih.gov/38052605
https://doaj.org/article/5d707b5d97e04e54ae5bbaffb89003b9

Complex dynamics induced by harvesting rate and delay in a diffusive Leslie-Gower predator-prey model

Authors: Heping Jiang

Source: AIMS Mathematics, Vol 8, Iss 9, Pp 20718-20730 (2023)

Subject Terms: delay, QA1-939, predator-prey model, turing-hopf bifurcation, nonlinear prey harvesting, Mathematics

Access URL: https://doaj.org/article/19c92fa8a73e4289ae1c063cae7bcc32

Evolution of Cooperation in Spatio-Temporal Evolutionary Games with Public Goods Feedback

Authors: Cheng, Haihui Sysoeva, Liubov Wang, Hao et al.

Contributors: Cheng, Haihui Sysoeva, Liubov Wang, Hao et al.

Source: Bulletin of Mathematical Biology. 86

Subject Terms: Spatial dynamics, Population Dynamics, Mathematical Concepts, Evolutionary game theory, Biological Evolution, Models, Biological, Feedback, Spatio-Temporal Analysis, Game Theory, Pattern formation, Animals, Humans, Computer Simulation, Replicator dynamics, Turing-Hopf bifurcation, Chaotic pattern, Cooperative Behavior

Access URL: https://pubmed.ncbi.nlm.nih.gov/38700758

Dynamic analysis of a Leslie–Gower-type predator–prey system with the fear effect and ratio-dependent Holling III functional response

Authors: Hongyu Chen Chunrui Zhang

Source: Nonlinear Analysis, Vol 27 (2022)

Subject Terms: predator–prey system, QA299.6-433, normal form, Turing instability, 0206 medical engineering, Turing–Hopf bifurcation, 02 engineering and technology, 0101 mathematics, 01 natural sciences, the fear effect, Analysis

Access URL: https://doaj.org/article/20fc818db9354dae814ad40d29a2dfd4

Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton–zooplankton model: Bifurcation analysis and pattern formation of a delayed diffusive toxic-phytoplankton-zooplankton model

Authors: Ming Wu Hongxing Yao

Source: International Journal of Biomathematics. 18

Subject Terms: Bifurcations in context of PDEs, Reaction-diffusion equations, delay, toxins, Initial-boundary value problems for second-order parabolic systems, Turing-Hopf bifurcation, 0101 mathematics, Stability in context of PDEs, 01 natural sciences, General biology and biomathematics, global stability

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Turing Instability and Spatial Pattern Formation in a Model of Urban Crime

Authors: Isabella Torcicollo Maria Vitiello Torcicollo, Isabella et al.

Contributors: Isabella Torcicollo Maria Vitiello Torcicollo, Isabella et al.

Subject Terms: Crime model, self- and cross-diffusion, stability analysi, Turing pattern, Turing–Hopf bifurcation

File Description: ELETTRONICO

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001200906100001; volume:12; issue:7; numberofpages:15; journal:MATHEMATICS; https://hdl.handle.net/11589/268460

Availability: https://hdl.handle.net/11589/268460
https://doi.org/10.3390/math12071097

Turing–Hopf bifurcation and spatiotemporal patterns in a Gierer–Meinhardt system with gene expression delay

Authors: Hongbin Wang Shuangrui Zhao Weihua Jiang

Source: Nonlinear Analysis, Vol 26, Iss 3 (2021)

Subject Terms: QA299.6-433, normal form, delay, spatiotemporal patterns, 0103 physical sciences, Turing–Hopf bifurcation, Gierer–Meinhardt system, 0101 mathematics, 01 natural sciences, Analysis

Access URL: https://www.journals.vu.lt/nonlinear-analysis/article/download/23054/23233
https://doaj.org/article/870aed27da5a4f9c8269da9c0535ae26
https://www.journals.vu.lt/nonlinear-analysis/article/view/23054

Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model

Authors: Ranchao Wu Anna Sun Mengxin Chen

Source: AIMS Mathematics, Vol 6, Iss 2, Pp 1920-1942 (2021)

Subject Terms: degenerate hopf bifurcation, 0103 physical sciences, multiple time scale analysis, QA1-939, 0101 mathematics, turing-hopf bifurcation, 01 natural sciences, Mathematics

Access URL: https://doaj.org/article/db0ce699e5ae4833b8b10b984748595e
https://www.aimspress.com/article/doi/10.3934/math.2021117

Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model

Authors: Anna Sun Ranchao Wu Mengxin Chen

Source: AIMS Mathematics, Vol 6, Iss 2, Pp 1920-1942 (2021)

Subject Terms: degenerate hopf bifurcation, turing-hopf bifurcation, multiple time scale analysis, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/db0ce699e5ae4833b8b10b984748595e

Turing–Hopf Bifurcation Analysis in a Diffusive Ratio-Dependent Predator–Prey Model with Allee Effect and Predator Harvesting

Authors: Meiyao Chen Yingting Xu Jiantao Zhao et al.

Source: Entropy, Vol 26, Iss 1, p 18 (2023)

Subject Terms: Turing–Hopf bifurcation, stability, diffusion, predator–prey model, harvesting rate, Science, Astrophysics, QB460-466, Physics, QC1-999

Relation: https://www.mdpi.com/1099-4300/26/1/18; https://doaj.org/toc/1099-4300; https://doaj.org/article/b58e3c1a92844ee8a44086d774ba8b10

Availability: https://doi.org/10.3390/e26010018
https://doaj.org/article/b58e3c1a92844ee8a44086d774ba8b10

Dynamics and spatio-temporal patterns in a prey–predator system with aposematic prey

Authors: Jeet Banerjee Yasuhiro Takeuchi Sourav Kumar Sasmal

Source: Mathematical Biosciences and Engineering, Vol 16, Iss 5, Pp 3864-3884 (2019)

Subject Terms: Time Factors, searching efficiency, Population Dynamics, hopf-bifurcation, Color, prey–predator system, Models, Biological, 01 natural sciences, Amphibians, Species Specificity, 0103 physical sciences, QA1-939, Animals, aposematism, Computer Simulation, Biomass, turing patterns, 0101 mathematics, Ecosystem, Motivation, Snakes, turing-hopf bifurcation, Predatory Behavior, TP248.13-248.65, Mathematics, Algorithms, Biotechnology

Access URL: https://pubmed.ncbi.nlm.nih.gov/31499640
https://doaj.org/article/409e564790ec49639ffa06287582c7bb
https://pubmed.ncbi.nlm.nih.gov/31499640/
https://www.aimspress.com/article/10.3934/mbe.2019191
https://www.ncbi.nlm.nih.gov/pubmed/31499640

Spatiotemporal Dynamics in a Predator–Prey Model with Functional Response Increasing in Both Predator and Prey Densities

Authors: Ruizhi Yang Qiannan Song Yong An

Source: Mathematics, Vol 10, Iss 17, p 17 (2021)

Subject Terms: predator–prey model, Turing–Hopf bifurcation, Hopf bifurcation, Turing instability, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/10/1/17; https://doaj.org/toc/2227-7390; https://doaj.org/article/405d55502d6d4dba891f9b488d36d8a0

Availability: https://doi.org/10.3390/math10010017
https://doaj.org/article/405d55502d6d4dba891f9b488d36d8a0

Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion

Authors: Qiushuang Shi Ming Liu Xiaofeng Xu

Source: Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-21 (2019)

Subject Terms: Ratio-dependent, Reaction-diffusion, Turing–Hopf bifurcation, Predator-prey model, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13662-019-2123-3; https://doaj.org/toc/1687-1847

Access URL: https://doaj.org/article/c827716d76c742a0b41cf05ca0356c95

Dynamics and spatio-temporal patterns in a prey–predator system with aposematic prey

Authors: Sourav Kumar Sasmal Jeet Banerjee Yasuhiro Takeuchi

Source: Mathematical Biosciences and Engineering, Vol 16, Iss 5, Pp 3864-3884 (2019)

Subject Terms: aposematism, searching efficiency, turing patterns, hopf-bifurcation, turing-hopf bifurcation, prey–predator system, Biotechnology, TP248.13-248.65, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.aimspress.com/article/10.3934/mbe.2019191?viewType=HTML; https://doaj.org/toc/1551-0018

Access URL: https://doaj.org/article/409e564790ec49639ffa06287582c7bb