Found 473 Documents (Results 1–100)
Stability and bifurcation analysis of a reaction-diffusion SIRS epidemic model with the general saturated incidence rate. (English) Zbl 07923960
Steady-state bifurcation and spike pattern in the Klausmeier-Gray-Scott model with non-diffusive plants. (English) Zbl 07922079
Bifurcation analysis and spatiotemporal dynamics in a diffusive predator-prey system incorporating a Holling type II functional response. (English) Zbl 07916732
Spatiotemporal patterns in a space-time discrete SIRS epidemic model with self- and cross-diffusion. (English) Zbl 07916725
Nonlinear dynamics and pattern formation in a space-time discrete diffusive intraguild predation model. (English) Zbl 07908466
Turing bifurcation in the Swift-Hohenberg equation on deterministic and random graphs. (English) Zbl 07908393
Dynamics for a charge transfer model with cross-diffusion: Turing instability of periodic solutions. (English) Zbl 07904913
Hybrid control of Turing instability and bifurcation for spatial-temporal propagation of computer virus. (English) Zbl 07903846
Amplitude equation for a diffusion-reaction system in presence of complexing reaction with the activator species: the Brusselator model. (English) Zbl 1542.92231
Stable spatially inhomogeneous periodic solutions for a diffusive Leslie-Gower predator-prey model. (English) Zbl 07893873
Exploring cooperative hunting dynamics and PRCC analysis: insights from a spatio-temporal mathematical model. (English) Zbl 07885522
Spatiotemporal patterns in a diffusive resource-consumer model with distributed memory and maturation delay. (English) Zbl 07875931
Bifurcation and Turing instability for a freshwater tussock sedge model with nonlocal interaction. (English) Zbl 07872429
MSC:
35-XX
Investigating the effect of three different types of diffusion on the stability of a Leslie-Gower type predator-prey system. (English) Zbl 1542.35033
Bifurcations and dynamical behaviors for a generalized delayed-diffusive Maginu model. (English) Zbl 1541.35036
Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model. (English) Zbl 1541.35038
Turing instability and attractor bifurcation for the general Brusselator model. (English) Zbl 07851944
Evolution of cooperation in spatio-temporal evolutionary games with public goods feedback. (English) Zbl 1539.91012
Modeling the bifurcation dynamics of rumor propagation in the spatial environment. (English) Zbl 1540.35048
Bifurcation and spatiotemporal patterns of SI epidemic model with diffusion. (English) Zbl 1539.92160
Spatial dynamics of a competitive and cooperative model with multiple delay effects: Turing patterns and Hopf bifurcation. (English) Zbl 1539.92111
Spatiotemporal and trade-off dynamics in prey-predator model with domed functional response and fear effect. (English) Zbl 1539.92087
Impact of predator-driven Allee and spatiotemporal effect on a simple predator-prey model. (English) Zbl 1539.92103
Regulating spatiotemporal dynamics for a delay Gierer-Meinhardt model. (English) Zbl 07845848
MSC:
82-XX
Spatiotemporal dynamics of a diffusive nutrient-phytoplankton model with delayed nutrient recycling. (English) Zbl 07843099
Reviewer: Yuming Chen (Waterloo)
Excitable FitzHugh-Nagumo model with cross-diffusion: long-range activation instabilities. (English) Zbl 1537.35209
Pattern dynamics analysis of a reaction-diffusion network propagation model. (English) Zbl 1540.91060
Cross-diffusion mediated spatiotemporal patterns in a predator-prey system with hunting cooperation and fear effect. (English) Zbl 1540.92133
A qualitative analysis of positive steady-state solutions for a mussel-algae model with diffusion. (English) Zbl 1536.35043
Spatiotemporal patterns in a Lengyel-Epstein model near a Turing-Hopf singular point. (English) Zbl 1537.35045
Spatio-temporal dynamics in a reaction-diffusion equation with nonlocal spatial memory. (English) Zbl 1537.35043
Spatial memory drives spatiotemporal patterns in a predator-prey model describing intraguild predation. (English) Zbl 1539.37102
Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices. (English) Zbl 07813438
Turing-Turing bifurcation in an activator-inhibitor system with gene expression time delay. (English) Zbl 1534.35019
Stability and cross-diffusion-driven instability for a water-vegetation model with the infiltration feedback effect. (English) Zbl 1533.35024
Reviewer: Mengxin Chen (Xinxiang)
Dynamical analysis of a spatial memory prey-predator system with gestation delay and strong Allee effect. (English) Zbl 1534.35021
Turing-Hopf bifurcation and bi-stable spatiotemporal periodic orbits in a delayed predator-prey model with predator-taxis. (English) Zbl 07791622
Reviewer: Shengqiang Liu (Tianjin)
Positive steady-state solutions for a water-vegetation model with the infiltration feedback effect. (English) Zbl 1527.35037
Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior. (English) Zbl 1522.92055
The non-existence and existence of non-constant positive solutions for a diffusive autocatalysis model with saturation. (English) Zbl 07921261
Bifurcations and hydra effects in a reaction-diffusion predator-prey model with Holling II functional response. (English) Zbl 07919800
Computation of Turing bifurcation normal form for \(n\)-component reaction-diffusion systems. (English) Zbl 07912533
MSC:
65-XX
Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect. (English) Zbl 07883548
A delayed eco-epidemiological competition network with reaction-diffusion terms: tipping anticipation. (English) Zbl 1537.92159
Bifurcations in a general delay Sel’kov-Schnakenberg reaction-diffusion system. (English) Zbl 1540.35039
Stability and bifurcation analyses of the FitzHugh-Rinzel model with time delay in a random network. (English) Zbl 1539.92019
Role of Allee effect, hunting cooperation, and dispersal to prey-predator model. (English) Zbl 1539.92083
Spatial Turing patterns of periodic solutions for the Brusselator system with cross-diffusion-like coupling. (English) Zbl 1540.35037
Bifurcation study and Turing instability in a diffusive cell polarization model with source and loss terms. (English) Zbl 1540.35038
Bifurcation analysis and steady-state patterns in reaction-diffusion systems augmented with self- and cross-diffusion. (English) Zbl 1540.35031
Turing bifurcation induced by cross-diffusion and amplitude equation in oncolytic therapeutic model: viruses as anti-tumor means. (English) Zbl 1539.92068
Global boundedness and stabilization in a predator-prey model with cannibalism and prey-evasion. (English) Zbl 07822995
Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions. (English) Zbl 1532.92128
The dynamic behavior of predator-prey diffusion system with fear effects. (Chinese. English summary) Zbl 07802091
A predator-prey system with prey social behavior and generalized Holling III functional response: role of predator-taxis on spatial patterns. (English) Zbl 07784848
Turing-Hopf bifurcation of a diffusive Holling-Tanner model with nonlocal effect and digestion time delay. (English) Zbl 1530.35022
Spatiotemporal dynamics in a toxin-producing predator-prey model with threshold harvesting. (English) Zbl 1530.92197
Dynamical study of nutrient-phytoplankton model with toxicity: effect of diffusion and time delay. (English) Zbl 1530.92195
Stationary and oscillatory patterns of a food chain model with diffusion and predator-taxis. (English) Zbl 1529.35033
Modeling the dynamics of information propagation in the temporal and spatial environment. (English) Zbl 1529.37050
Quantitative analysis of pattern formation in a multistable model of glycolysis with diffusion. (English) Zbl 1527.35051
Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions. (English) Zbl 1523.34013
Complex patterns in a space-time discrete mathematical model of antibiotic resistance in hospitals with self-diffusion. (English) Zbl 1542.37075
Hopf and Turing-Hopf bifurcation analysis of a delayed predator-prey model with schooling behavior. (English) Zbl 1526.35038
Qualitative analysis of a prey-predator model with prey refuge and intraspecific competition among predators. (English) Zbl 1522.35055
Qualitative analysis for a diffusive predator-prey model with hunting cooperation and Holling type III functional response. (English) Zbl 1527.37097
Precipitation governing vegetation patterns in an arid or semi-arid environment. (English) Zbl 1519.92339
Stability and Turing patterns of a predator-prey model with Holling type II functional response and Allee effect in predator. (English) Zbl 1521.34054
Tipping point prediction and mechanism analysis of malware spreading in cyber-physical systems. (English) Zbl 1516.35057
Bifurcation analysis and spatiotemporal patterns in delayed Schnakenberg reaction-diffusion model. (English) Zbl 1512.35045
Dynamics analysis of a diffusive predator-prey model with spatial memory and nonlocal fear effect. (English) Zbl 1512.92087
Turing instability and pattern formation in a diffusive Sel’kov-Schnakenberg system. (English) Zbl 1514.35444
Allee effect in a diffusive predator-prey system with nonlocal prey competition. (English) Zbl 1527.92043
Attractors and long transients in a spatio-temporal slow-fast Bazykin’s model. (English) Zbl 1514.34077
Bifurcations and pattern formation in a predator-prey model with memory-based diffusion. (English) Zbl 1509.35036
Bogdanov-Takens bifurcation for a diffusive predator-prey system with nonlocal effect and prey refuge. (English) Zbl 1510.35037
Reviewer: Shangjiang Guo (Changsha)
Bifurcations in a diffusive resource-consumer model with distributed memory. (English) Zbl 1507.35025
Stability analysis and pattern selection of a plankton system with nonlocal predation. (English) Zbl 1505.92259
Nonlocal delay driven spatiotemporal patterns in a single-species reaction-diffusion model. (English) Zbl 1504.35058
Bifurcation and Turing instability for genetic regulatory networks with diffusion. (English) Zbl 1505.92067
Hopf and Turing bifurcation for a competition and cooperation system with spatial diffusion effect. (English) Zbl 1505.92261
Bifurcation analysis of a diffusive predator-prey model with prey social behavior and predator harvesting. (English) Zbl 1530.35024
Filter Results by …
Document Type
- Journal Articles (463)
- Collection Articles (8)
- Books (2)
all
top 5
Author
- Song, Yongli (23)
- Banerjee, Malay (18)
- Yang, Ruizhi (13)
- Zhang, Chunrui (11)
- Jiang, Weihua (10)
- Kumar Upadhyay, Ranjit (10)
- Liu, Shutang (10)
- Wu, Ranchao (10)
- Chen, Mengxin (9)
- Li, You (9)
- Guo, Gaihui (8)
- Wei, Junjie (8)
- Zhou, Jun (8)
- Balachandran, Krishnan (7)
- Djilali, Salih (7)
- Gambino, Gaetana (7)
- Ghorai, Saktipada (7)
- Wang, Wen (7)
- Zhang, Tonghua (7)
- Zhao, Hongyong (7)
- Fu, Shengmao (6)
- Hou, Xiaojie (6)
- Hu, Guangping (6)
- Lombardo, Maria Carmela (6)
- Sammartino, Marco Maria Luigi (6)
- Shen, Jianwei (6)
- Shi, Junping (6)
- Wang, Hao (6)
- Wang, Jinliang (6)
- Wu, Daiyong (6)
- Zhong, Shihong (6)
- An, Qi (5)
- Chen, Liping (5)
- Guin, Lakshmi Narayan (5)
- Jiang, Heping (5)
- Liu, Biao (5)
- Liu, Zhibin (5)
- Ma, Zhanping (5)
- Meng, Xinzhu (5)
- Pal, Swadesh (5)
- Sun, Guiquan (5)
- Tripathi, Jai Prakash (5)
- Wang, Weiming (5)
- Zhu, Linhe (5)
- Aly, Shaban A. H. (4)
- Cai, Yongli (4)
- Champneys, Alan R. (4)
- Farkas, Miklós (4)
- Han, Renji (4)
- Huang, Tousheng (4)
- Li, Xiaoling (4)
- Liu, Ming (4)
- Lv, Yehu (4)
- Mishra, Swati (4)
- Mukherjee, Nayana (4)
- Shi, Hongbo (4)
- Singh, Teekam (4)
- Sun, Guangxun (4)
- Tang, Xiaosong (4)
- Volpert, Vitaly A. (4)
- Xiao, Min (4)
- Yafia, Radouane (4)
- Yan, Xiangping (4)
- Yi, Fengqi (4)
- Zhang, Cunhua (4)
- Zhang, Guang (4)
- Zhang, Huayong (4)
- Zhang, Lai (4)
- Zheng, Qianqian (4)
- Al Saadi, Fahad (3)
- Cao, Xun (3)
- Dai, Binxiang (3)
- Erneux, Thomas (3)
- Gao, Xiaoyan (3)
- Ge, Bin (3)
- Ghorai, Santu (3)
- Jana, Debaldev (3)
- Jin, Zhen (3)
- Liu, Haicheng (3)
- Madzvamuse, Anotida (3)
- Parshad, Rana D. (3)
- Peng, Yahong (3)
- Rao, Feng (3)
- Roy, Parimita (3)
- Ruan, Shigui (3)
- Salman, Sanaa Moussa (3)
- Sarfaraz, Wakil (3)
- Sherratt, Jonathan A. (3)
- Shi, Qingyan (3)
- Song, Qiannan (3)
- Souna, Fethi (3)
- Tiwari, Satish Kumar (3)
- Tiwari, Vandana (3)
- Valenti, Giovanna (3)
- Väth, Martin (3)
- Wei, Meihua (3)
- Wei, Xin (3)
- Worthy, Annette L. (3)
- Wu, Shuhao (3)
- Xu, Li (3)
- and 573 more Authors
all
top 5
Serial
- Int. J. Bifurcation Chaos Appl. Sci. Eng. (70)
- Chaos Solitons Fractals (27)
- Commun. Nonlinear Sci. Numer. Simul. (18)
- Math. Methods Appl. Sci. (17)
- Nonlinear Dyn. (16)
- Nonlinear Anal., Real World Appl. (15)
- Discrete Contin. Dyn. Syst., Ser. B (14)
- Bull. Math. Biol. (11)
- Math. Biosci. Eng. (11)
- Physica A (10)
- J. Appl. Anal. Comput. (10)
- J. Math. Anal. Appl. (9)
- Comput. Math. Appl. (8)
- Physica D (8)
- Appl. Math. Lett. (8)
- Appl. Math. Modelling (8)
- Int. J. Biomath. (8)
- J. Math. Biol. (7)
- Appl. Math. Comput. (7)
- J. Differ. Equations (7)
- Math. Comput. Simul. (7)
- Adv. Difference Equ. (7)
- Nonlinear Anal., Model. Control (6)
- IMA J. Appl. Math. (5)
- J. Nonlinear Sci. (5)
- Z. Angew. Math. Phys. (4)
- J. Math. Chem. (4)
- Electron. J. Qual. Theory Differ. Equ. (4)
- SIAM J. Appl. Dyn. Syst. (4)
- Math. Model. Nat. Phenom. (4)
- Appl. Anal. (3)
- Math. Biosci. (3)
- Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods (3)
- Ric. Mat. (3)
- J. Dyn. Differ. Equations (3)
- Qual. Theory Dyn. Syst. (3)
- Acta Math. Sci., Ser. A, Chin. Ed. (3)
- Bound. Value Probl. (3)
- J. Korean Soc. Ind. Appl. Math. (3)
- J. Theor. Biol. (3)
- J. Franklin Inst. (2)
- Nonlinearity (2)
- J. Comput. Appl. Math. (2)
- Acta Appl. Math. (2)
- Acta Math. Appl. Sin., Engl. Ser. (2)
- Japan J. Ind. Appl. Math. (2)
- Appl. Math., Praha (2)
- SIAM J. Appl. Math. (2)
- SIAM J. Math. Anal. (2)
- Abstr. Appl. Anal. (2)
- Commun. Pure Appl. Anal. (2)
- J. Appl. Math. Comput. (2)
- J. Phys. A, Math. Theor. (2)
- Discrete Contin. Dyn. Syst., Ser. S (2)
- J. Appl. Nonlinear Dyn. (2)
- AIMS Math. (2)
- Int. J. Mod. Phys. B (1)
- Jahresber. Dtsch. Math.-Ver. (1)
- Phys. Lett., A (1)
- Rocky Mt. J. Math. (1)
- Wave Motion (1)
- ACM Trans. Math. Softw. (1)
- Hokkaido Math. J. (1)
- J. Korean Math. Soc. (1)
- Kyungpook Math. J. (1)
- Mem. Am. Math. Soc. (1)
- Stud. Appl. Math. (1)
- Southeast Asian Bull. Math. (1)
- Acta Math. Appl. Sin. (1)
- J. Lanzhou Univ., Nat. Sci. (1)
- Bull. Korean Math. Soc. (1)
- Math. Pract. Theory (1)
- Acta Math. Hung. (1)
- J. East China Norm. Univ., Nat. Sci. Ed. (1)
- J. Nanjing Univ., Math. Biq. (1)
- New Generation Comput. (1)
- Dyn. Stab. Syst. (1)
- J. Nat. Sci. Heilongjiang Univ. (1)
- Int. J. Comput. Math. (1)
- J. Non-Equilibrium Thermodyn. (1)
- Electron. J. Differ. Equ. (1)
- Comput. Appl. Math. (1)
- J. Egypt. Math. Soc. (1)
- Fractals (1)
- Nonlinear Stud. (1)
- Differ. Equ. Dyn. Syst. (1)
- Arab. J. Sci. Eng., Sect. C, Theme Issues (1)
- Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. (1)
- Discrete Dyn. Nat. Soc. (1)
- J. Biol. Syst. (1)
- Control Theory Appl. (1)
- J. Northwest Norm. Univ., Nat. Sci. (1)
- Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. (1)
- Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms (1)
- Bull. Malays. Math. Sci. Soc. (2) (1)
- Math. Med. Biol. (1)
- Miskolc Math. Notes (1)
- Dyn. Partial Differ. Equ. (1)
- Front. Math. China (1)
- J. North Univ. China, Nat. Sci. (1)
- and 19 more Serials
all
top 5
Year of Publication
- 2025 (1)
- 2024 (47)
- 2023 (49)
- 2022 (42)
- 2021 (38)
- 2020 (48)
- 2019 (52)
- 2018 (39)
- 2017 (30)
- 2016 (22)
- 2015 (21)
- 2014 (14)
- 2013 (8)
- 2012 (5)
- 2011 (3)
- 2010 (3)
- 2009 (5)
- 2008 (8)
- 2007 (4)
- 2006 (3)
- 2005 (2)
- 2004 (5)
- 2003 (2)
- 2001 (2)
- 2000 (2)
- 1999 (4)
- 1998 (1)
- 1997 (2)
- 1996 (3)
- 1995 (3)
- 1994 (2)
- 1990 (1)
- 1985 (1)
- 1978 (1)
all
top 3
Software
- PRED_PREY (18)
- Matlab (9)
- MATCONT (5)
- pde2path (5)
- AUTO (4)
- AUTO-07P (4)
- COMSOL (3)
- GitHub (3)
- XPPAUT (3)
- CL_MATCONT (2)
- HomCont (2)
- Maple (2)
- OOPDE (2)
- ARPACK (1)
- AlexNet (1)
- BifurcationKit.jl (1)
- CNN (1)
- COCO (1)
- Chebfun (1)
- Chebfun2 (1)
- Chemotaxis (1)
- DChaos (1)
- DDE-BIFTOOL (1)
- DistMesh (1)
- Eigtool (1)
- FreeFem++ (1)
- ILUPACK (1)
- ImageNet (1)
- LOCA (1)
- MPA (1)
- Mathematica (1)
- Python (1)
- RKC (1)
- Regularization tools (1)
- Trilinos (1)
- mctoolbox (1)
- oomph-lib (1)
- psSchur (1)
- wavetrain (1)
- xmds (1)