Stability of solutions of the sunflower equation

Authors: Abdullai Abdurasid, K. D. Aduloju, A. L. Olutimo, M. O. Omeike

Source: Proyecciones (Antofagasta). 44:134-145

Subject Terms: sunflower equation, boundedness of solutions, delay differential equation, Growth and boundedness of solutions to ordinary differential equations, stability of solutions, Stability of solutions to ordinary differential equations, Lyapunov-Krasovski's method

File Description: application/xml

Stability of constant steady states of an attraction-repulsion chemotaxis system

Authors: Wakui, Hiroshi^{Aff1, IDs41808026004655_cor1}, Yamada, Tetsuya^Aff2

Source: Journal of Elliptic and Parabolic Equations. :1-46

Stability analysis and optimal control of SEAIQR infectious disease model with nonlinear treatment term based on BA scale-free network: Stability analysis and optimal control of SEAIQR infectious disease model with nonlinear treatment term BAsed on BA scale-free network

Authors: Leimin Wang, Jian Shen, Xiaofang Hu, Guodong Zhang, Genping Wu

Source: Mathematics and Computers in Simulation. 234:248-261

Subject Terms: optimal control, Existence theories for optimal control problems involving ordinary differential equations, Epidemiology, scale-free network, Qualitative investigation and simulation of ordinary differential equation models, infectious disease model, nonlinear treatment term, Stability of solutions to ordinary differential equations, Global stability of solutions to ordinary differential equations, global stability

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Global dynamics and optimal control strategies for the brucellosis model with environmental saturation infection: An assessment of severely affected provinces in China: Global dynamics and optimal control strategies for the brucellosis model with environmental saturation infection: an assessment of severely affected provinces in China

Authors: Caihong Song, Zigen Song

Source: Mathematics and Computers in Simulation. 236:379-410

Subject Terms: Medical epidemiology, culling, Existence theories for optimal control problems involving ordinary differential equations, Epidemiology, basic reproduction number, brucellosis, Pontryagin's maximum principle, Global stability of solutions to ordinary differential equations, vaccination, Dynamical systems in biology

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Stability Analysis of Switched Homogeneous Positive System with Unstable Subsystems: Stability analysis of switched homogeneous positive system with unstable subsystems

Authors: Qiang Xiao 0003, Zhigang Zeng, Jingang Lai, Tingwen Huang, Frank L. Lewis

Source: SIAM Journal on Control and Optimization. 63:2915-2935

Subject Terms: Discontinuous functional-differential equations, positive systems, asymptotic stability, Stability theory of functional-differential equations, exponential stability, Discrete version of topics in analysis, switched systems, Discontinuous ordinary differential equations, Stability of solutions to ordinary differential equations, polynomial stability

File Description: application/xml

Access URL: https://zbmath.org/8083328
https://doi.org/10.1137/24m167500x

Impact of Physical Factors on Stability of Solutions at Simulation of Transients in High-Voltage Systems

Authors: Lazimov, Tahir^Aff10, Saafan, Esam^Aff11, Sadigov, Asif^Aff12

Contributors: Karakoc, T. Hikmet, Series Editor^{Aff1, Aff4}, Colpan, C. Ozgur, Series Editor^Aff2, Dalkiran, Alper, Series Editor^{Aff3, Aff6}, Abdullayev, Khagani, editor^Aff5, Mirzayev, Fuad, editor^Aff7, Aghayev, Elgun, editor^Aff8, Cinoğlu, Bahadır, editor^Aff9

Source: Research and Updates on the Use of Artificial Intelligence in Drone Technology : Proceedings of the 2024 International Symposium on Unmanned Systems: AI, Design and Efficiency. :302-307

Solution Stability for a Mixture of Polydisperse Spherical and Cylindrical Particles Using Small-Angle Scattering Data

Authors: Kryukova, A. E.^{Aff1, IDS1063778825090303_cor1}, Konarev, P. V.^Aff1, Volkov, V. V.^Aff1

Source: Physics of Atomic Nuclei. 88(10):2108-2113

Stability analysis and optimal control of tumour-immune interaction problem using fractional order derivative

Authors: Tarekegn Dinku, Boka Kumsa, Jyotirmoy Rana, Aiyappan Srinivasan

Source: Mathematics and Computers in Simulation. 233:187-207

Subject Terms: spectral collocation, optimal control, Medical applications (general), fractional-order differential equation, Fractional ordinary differential equations, Stability of solutions to ordinary differential equations, cancer model, stability analysis

File Description: application/xml

Access URL: https://zbmath.org/8031897
https://doi.org/10.1016/j.matcom.2024.12.028

Existence and stability of the solution of an implicit set-valued functional differential equation with parameters

Authors: Saad, Sooma, Emharab, Fathi

Source: Electronic Journal of Mathematical Analysis and Applications. 13:1-7

Subject Terms: Linear ordinary differential equations and systems, existence, differential equations, uniqueness, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Stability of solutions to ordinary differential equations, stability

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Mathematical Modeling on the Transmission Dynamics of HIV and Hepatitis B (HBV) Co‐Infection in the United States: Mathematical modeling on the transmission dynamics of HIV and hepatitis B (HBV) co-infection in the United States

Authors: Festus Abiodun Oguntolu, Olumuyiwa James Peter, Dipo Aldila, Ghaniyyat Bolanle Balogun, Aminat Olabisi Ajiboye, Benjamin Idoko Omede

Source: Mathematical Methods in the Applied Sciences. 48:13949-13983

Subject Terms: sensitivity analysis, Epidemiology, basic reproduction number, bifurcation, HIV and HBV co-infection, Stability of solutions to ordinary differential equations, stability, General biology and biomathematics

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Mathematical Analysis of a Predator–Prey Model Incorporating Prey Fear: Mathematical analysis of a predator-prey model incorporating prey fear

Authors: Marco Romero Ordoñez, Jhelly-Reynaluz Pérez-Núñez, Neisser Pino-Romero

Source: Proyecciones (Antofagasta). 44:561-599

Subject Terms: computer simulation, differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Nonlinear ordinary differential equations and systems, Stability of solutions to ordinary differential equations, mathematical ecology, effect of fear on prey

File Description: application/xml

Access URL: https://zbmath.org/8091559
https://doi.org/10.22199/issn.0717-6279-6915

A Quantitative Exploration of Influenza Resistance Using a Stochastic Approach: A quantitative exploration of influenza resistance using a stochastic approach

Authors: Shah Hussain, Naveed Iqbal, Elissa Nadia Madi

Source: Mathematical Methods in the Applied Sciences. 48:14051-14066

Subject Terms: disease extinction, Stability of solutions to ordinary differential equations, stability, disease persistent, Ergodic theory of linear operators, Stochastic ordinary differential equations (aspects of stochastic analysis)

File Description: application/xml

A Gompertz Model With Conditional Hyers‐Ulam Stability: A Gompertz model with conditional Hyers-Ulam stability

Authors: Douglas Anderson, Masumi Kondo, Masakazu Onitsuka

Source: Mathematical Methods in the Applied Sciences. 48:13890-13897

Subject Terms: conditional stability, perturbation, Linear ordinary differential equations and systems, Perturbations of ordinary differential equations, Hyers-Ulam stability, Stability of solutions to ordinary differential equations, Gompertz differential equation, Hyers-Ulam constant

File Description: application/xml

Global Stability and Sensitivity Analysis of SIAR Model with Influenza A (H1N1): Global stability and sensitivity analysis of SIAR model with influenza A (H1N1)

Authors: Sirijampa, A., Saksurakan, C., Janreung, S.

Source: Malaysian Journal of Mathematical Sciences. 19:411-441

Subject Terms: Epidemiology, basic reproduction number, PDEs in connection with biology, chemistry and other natural sciences, SIAR model analysis, Global stability of solutions to ordinary differential equations, sensitivity, global stability

File Description: application/xml

Access URL: https://zbmath.org/8074631
https://doi.org/10.47836/mjms.19.2.04

Convergence behavior in Aizerman systems of Differential Equations: Convergence behavior in Aizerman systems of differential equations

Authors: Omoko, Ifeoma D., Olutimo, Akinwale L.

Source: Proyecciones (Antofagasta). 44:478-492

Subject Terms: matrix differential equations, convergence, Perturbations of ordinary differential equations, Stability of solutions to ordinary differential equations, stability, Asymptotic properties of solutions to ordinary differential equations, Aizerman-type system, Lyapunov methods

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Dynamics of a within-host HIV/SARS-CoV-2 co-infection model with two intracellular delays

Authors: Youssra Hajri, Saida Amine

Source: Mathematics and Computers in Simulation. 232:160-191

Subject Terms: Medical epidemiology, co-infection, viral life cycle, Epidemiology, HIV/SARS-CoV-2, Hopf bifurcation, Stability of solutions to ordinary differential equations, time delay, Bifurcation theory of functional-differential equations, global stability

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Dynamics of Stochastic Fractional Heat Equations in Material with Memory: Dynamics of stochastic fractional heat equations in material with memory

Authors: Jiaohui Xu, Tomás Caraballo, José Valero

Source: Milan Journal of Mathematics. 93:187-220

Subject Terms: stability of solutions, PDEs with randomness, stochastic partial differential equations, fractional Laplacian, weak pullback mean random attractors, Fractional partial differential equations

File Description: application/xml

Access URL: https://zbmath.org/8071602
https://doi.org/10.1007/s00032-025-00417-z

Generalized Mathematical Model of Infectious Disease During Medicinal Intervention by Employing Fractional Differential Equations: Generalized mathematical model of infectious disease during medicinal intervention by employing fractional differential equations

Authors: Manal Almuzini, Farah A. Abdullah, Matthew O. Adewole, Shaher Momani, S. A. Khuri

Source: Mathematical Methods in the Applied Sciences. 48:12153-12173

Subject Terms: Bifurcations of singular points in dynamical systems, Epidemiology, fractional order model, bifurcation, COVID-19, Fractional ordinary differential equations, stability, Global stability of solutions to ordinary differential equations, parameter estimation, sensitivity, vaccination, Numerical methods for initial value problems involving ordinary differential equations

File Description: application/xml

Access URL: https://zbmath.org/8095222
https://doi.org/10.1002/mma.11019

Invasion Dynamics of a Predator–Prey System in Closed Advective Patchy Environments: Invasion dynamics of a predator-prey system in closed advective patchy environments

Authors: Qi Wang, Hao Yan

Source: Mathematical Methods in the Applied Sciences. 48:12725-12737

Subject Terms: Population dynamics (general), Ecology, closed patchy environments, Qualitative investigation and simulation of ordinary differential equation models, predator-prey system, global dynamics, Global stability of solutions to ordinary differential equations, Stability theory for smooth dynamical systems

File Description: application/xml

Access URL: https://zbmath.org/8095261
https://doi.org/10.1002/mma.11057

Tristability and Elite Control in an HIV Infection Model with Natural Killer Cells Effect and Immune Impairment: Tristability and elite control in an HIV infection model with natural killer cells effect and immune impairment

Authors: Shaoli Wang, Tengfei Wang, Jianhong Wu, Tianhai Tian

Source: SIAM Journal on Applied Mathematics. 85:1023-1045

Subject Terms: Medical epidemiology, Epidemiology, nature killer cells, Qualitative investigation and simulation of ordinary differential equation models, tristability, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, bifurcation analysis, robustness, Stability of solutions to ordinary differential equations, HIV infection, Control problems involving ordinary differential equations

File Description: application/xml

Access URL: https://zbmath.org/8043973
https://doi.org/10.1137/23m1582205