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Original Articles

Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems

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Pages 2036-2054 | Received 07 Nov 2018, Accepted 01 Oct 2019, Published online: 16 Oct 2019

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Manh Tuan Hoang & Matthias Ehrhardt. (2024) A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model. Journal of Difference Equations and Applications 30:4, pages 409-434.
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Manh Tuan Hoang. (2023) A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model. International Journal of Computer Mathematics 100:10, pages 2047-2062.
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Articles from other publishers (18)

Manh Tuan Hoang & Matthias Ehrhardt. (2024) A second-order nonstandard finite difference method for a general Rosenzweig–MacArthur predator–prey model. Journal of Computational and Applied Mathematics 444, pages 115752.
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Manh Tuan Hoang. (2024) High-order nonstandard finite difference methods preserving dynamical properties of one-dimensional dynamical systems. Numerical Algorithms.
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Manh Hoang. 2024. Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations. Mathematical and Computational Modeling of Phenomena Arising in Population Biology and Nonlinear Oscillations 17 44 .
Azhar Iqbal Kashif Butt, Muhammad Rafiq, Waheed Ahmad & Naeed Ahmad. (2023) Implementation of computationally efficient numerical approach to analyze a Covid-19 pandemic model. Alexandria Engineering Journal 69, pages 341-362.
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Manh Tuan Hoang. (2023) Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model. Mathematics and Computers in Simulation 205, pages 291-314.
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Manh Tuan Hoang. (2023) A class of second-order and dynamically consistent nonstandard finite difference schemes for nonlinear Volterra’s population growth model. Computational and Applied Mathematics 42:2.
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Manh Tuan Hoang, Thi Kim Quy Ngo & Ha Hai Truong. (2023) A simple method for studying asymptotic stability of discrete dynamical systems and its applications. An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 13:1, pages 10-25.
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Manh Tuan Hoang. (2022) A novel second-order nonstandard finite difference method for solving one-dimensional autonomous dynamical systems. Communications in Nonlinear Science and Numerical Simulation 114, pages 106654.
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Manh Tuan Hoang. (2021) Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model. Journal of Applied Mathematics and Computing 68:5, pages 3397-3423.
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Manh Tuan Hoang. (2022) Positivity and boundedness preserving nonstandard finite difference schemes for solving Volterra’s population growth model. Mathematics and Computers in Simulation 199, pages 359-373.
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Brian Villegas-Villalpando, Jorge E. Macías-Díaz & Qin Sheng. (2022) Solution Spaces Associated to Continuous or Numerical Models for Which Integrable Functions Are Bounded. Mathematics 10:11, pages 1936.
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Manh Tuan Hoang. (2022) Reliable approximations for a hepatitis B virus model by nonstandard numerical schemes. Mathematics and Computers in Simulation 193, pages 32-56.
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Oluwaseun Francis Egbelowo & Manh Tuan Hoang. (2020) Global dynamics of target-mediated drug disposition models and their solutions by nonstandard finite difference method. Journal of Applied Mathematics and Computing 66:1-2, pages 621-643.
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Abraham J. Arenas, Gilberto González-Parra, Jhon J. Naranjo, Myladis Cogollo & Nicolás De La Espriella. (2021) Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay. Mathematics 9:3, pages 257.
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Manh Tuan Hoang, Zain Ul Abadin Zafar & Thi Kim Quy Ngo. (2020) Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate. Computational and Applied Mathematics 39:4.
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Quang A. Dang, Manh T. Hoang, Deccy Y. Trejos & Jose C. Valverde. (2020) Nonstandard Finite Difference Schemes for the Study of the Dynamics of the Babesiosis Disease. Symmetry 12:9, pages 1447.
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Manh Tuan Hoang & Oluwaseun Francis Egbelowo. (2020) Numerical dynamics of nonstandard finite difference schemes for a Logistics model with feedback control. ANNALI DELL'UNIVERSITA' DI FERRARA 66:1, pages 51-65.
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Manh Tuan Hoang. (2021) A Novel Second-Order Nonstandard Finite Difference Method for Solving One-Dimensional Autonomous Dynamical Systems. SSRN Electronic Journal.
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