Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study
Math. Model. Nat. Phenom., 7 3 (2012) 204-226
Published online: 2012-06-06
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
138 125 (2024)
https://doi.org/10.1007/978-981-96-0135-6_6
Microbial coinfections in COVID-19: mathematical analysis using Atangana–Baleanu–Caputo type
G. M. Vijayalakshmi, P. Roselyn Besi, A. Kalaivani, G. Infant Sujitha and S. MaheshMultiscale and Multidisciplinary Modeling, Experiments and Design 7 (4) 4097 (2024)
https://doi.org/10.1007/s41939-024-00418-2
Global Stability of SIR Model with Heterogeneous Transmission Rate Modeled by the Preisach Operator
Ruofei Guan, Jana Kopfová and Dmitrii RachinskiiSIAM Journal on Applied Dynamical Systems 23 (2) 1199 (2024)
https://doi.org/10.1137/22M154274X
(2024)
https://doi.org/10.1101/2024.11.11.623021
Optimal Decision-Making in a Captive Users Context
A.Y. Kibangou and R.C. KalaoaneIFAC-PapersOnLine 58 (25) 144 (2024)
https://doi.org/10.1016/j.ifacol.2024.10.252
The Preisach model of hysteresis: fundamentals and applications
M E Semenov, S V Borzunov, P A Meleshenko and N I Sel’vesyukPhysica Scripta 99 (6) 062008 (2024)
https://doi.org/10.1088/1402-4896/ad4aa2
Exponential Stability of the Numerical Solution of a Hyperbolic System with Nonlocal Characteristic Velocities
Rakhmatillo Djuraevich Aloev, Abdumauvlen Suleimanovich Berdyshev, Vasila Alimova and Kymbat Slamovna BekenayevaAxioms 13 (5) 334 (2024)
https://doi.org/10.3390/axioms13050334
On Chaos of Discrete Time Fractional Order Host-Immune-Tumor Cells Interaction Model
Jehad Alzabut, A. George Maria Selvam, Vignesh Dhakshinamoorthy, Hakimeh Mohammadi and Shahram RezapourJournal of Applied Mathematics and Computing 68 (6) 4795 (2022)
https://doi.org/10.1007/s12190-022-01715-0
A fractional order model for the transmission dynamics of hepatitis B virus with two-age structure in the presence of vaccination
Getachew Teshome Tilahun, Woldegebriel Assefa Woldegerima and Nesredin MohammedArab Journal of Basic and Applied Sciences 28 (1) 87 (2021)
https://doi.org/10.1080/25765299.2021.1896423
Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator
Jana Kopfová, Petra Nábělková, Dmitrii Rachinskii and Samiha C. RoufJournal of Mathematical Biology 83 (2) (2021)
https://doi.org/10.1007/s00285-021-01629-8
Containing a pandemic: nonpharmaceutical interventions and the ‘second wave’
Michael te Vrugt, Jens Bickmann and Raphael WittkowskiJournal of Physics Communications 5 (5) 055008 (2021)
https://doi.org/10.1088/2399-6528/abf79f
Experimental Demonstration of Instrument-Specific Quantum Memory Effects and Non-Markovian Process Recovery for Common-Cause Processes
Yu Guo, Philip Taranto, Bi-Heng Liu, et al.Physical Review Letters 126 (23) (2021)
https://doi.org/10.1103/PhysRevLett.126.230401
The memory effect on fractional calculus: an application in the spread of COVID-19
Laécio Carvalho de Barros, Michele Martins Lopes, Francielle Santo Pedro, et al.Computational and Applied Mathematics 40 (3) (2021)
https://doi.org/10.1007/s40314-021-01456-z
Global dynamics of SIR model with switched transmission rate
Zuzana Chladná, Jana Kopfová, Dmitrii Rachinskii and Samiha C. RoufJournal of Mathematical Biology 80 (4) 1209 (2020)
https://doi.org/10.1007/s00285-019-01460-2
Super-critical and critical traveling waves in a three-component delayed disease system with mixed diffusion
Jingdong Wei, Jiangbo Zhou, Zaili Zhen and Lixin TianJournal of Computational and Applied Mathematics 367 112451 (2020)
https://doi.org/10.1016/j.cam.2019.112451
Extended Abstracts Spring 2018
Mikhail E. Semenov, Peter A. Meleshenko, Igor N. Ishchuk, Valeriy N. Tyapkin and Zainib Hatif AbbasTrends in Mathematics, Extended Abstracts Spring 2018 11 245 (2019)
https://doi.org/10.1007/978-3-030-25261-8_36
Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study
Alexander Pimenov, Thomas C. Kelly, Andrei Korobeinikov, Michael J. O’Callaghan and Dmitrii RachinskiiJournal of Mathematical Biology 74 (6) 1533 (2017)
https://doi.org/10.1007/s00285-016-1065-6
Global stability of infectious disease models with contact rate as a function of prevalence index
Cruz Vargas-De-León and Alberto d'OnofrioMathematical Biosciences and Engineering 14 (4) 1019 (2017)
https://doi.org/10.3934/mbe.2017053
Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems
Christian Kuehn and Christian MünchSIAM Journal on Applied Dynamical Systems 16 (3) 1650 (2017)
https://doi.org/10.1137/17M1110584
Convergence of Direct Recursive Algorithm for Identification of Preisach Hysteresis Model with Stochastic Input
D. Rachinskii and M. RudermanSIAM Journal on Applied Mathematics 76 (4) 1270 (2016)
https://doi.org/10.1137/140986633
Robust homoclinic orbits in planar systems with Preisach hysteresis operator
Alexander Pimenov and Dmitrii RachinskiiJournal of Physics: Conference Series 727 012012 (2016)
https://doi.org/10.1088/1742-6596/727/1/012012
Realization of arbitrary hysteresis by a low-dimensional gradient flow
Dmitrii RachinskiiDiscrete and Continuous Dynamical Systems - Series B 21 (1) 227 (2015)
https://doi.org/10.3934/dcdsb.2016.21.227
Adaptive behaviour and multiple equilibrium states in a predator–prey model
Alexander Pimenov, Thomas C. Kelly, Andrei Korobeinikov, Michael J.A. O’Callaghan and Dmitrii RachinskiiTheoretical Population Biology 101 24 (2015)
https://doi.org/10.1016/j.tpb.2015.02.004
3591 (2013)
https://doi.org/10.1109/ACC.2013.6580387
Effect of positive feedback on Devil's staircase input-output relationship
Dmitrii Rachinskii and Alexei PokrovskiiDiscrete and Continuous Dynamical Systems - Series S 6 (4) 1095 (2012)
https://doi.org/10.3934/dcdss.2013.6.1095