Global Analysis of the Babesiosis Disease in Bovine and Tick Populations Model and Numerical Simulation with Multistage Modified Sinc Method

Pourbashash, Hossein

doi:10.1007/s40995-018-0510-3

Cited by 5 publications

(5 citation statements)

References 13 publications

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“…Our continuous model in [6] has also served as a basis to set out and study similar models, including other factors such as a two-stage in the cattle class in [10] or the effect of seasonal changes in [11]. Moreover, in [12] a study of the dynamic behavior of our model is performed using a multistage modified sinc method which is a computational algorithm for approximating solutions of the classical system in a sequence of (time) intervals.…”

Section: Introductionmentioning

confidence: 99%

A discrete epidemic model for bovine Babesiosis disease and tick populations

Aranda¹,

Trejos²,

Valverde³

2017

Open Physics

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Abstract:In this paper, we provide and study a discrete model for the transmission of Babesiosis disease in bovine and tick populations. This model supposes a discretization of the continuous-time model developed by us previously. The results, here obtained by discrete methods as opposed to continuous ones, show that similar conclusions can be obtained for the discrete model subject to the assumption of some parametric constraints which were not necessary in the continuous case. We prove that these parametric constraints are not artificial and, in fact, they can be deduced from the biological significance of the model. Finally, some numerical simulations are given to validate the model and verify our theoretical study.

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Section: Introductionmentioning

confidence: 99%

A discrete epidemic model for bovine Babesiosis disease and tick populations

Aranda¹,

Trejos²,

Valverde³

2017

Open Physics

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“…Hassan [27] devised a dynamically consistent nonstandard finite difference scheme for the continuous delay model of viral infection in phytoplankton populations. Pourbashash [28] utilized the multistage modified sinc method to solve a model of Babesiosis disease in bovine and tick populations. Avazzadeh et al [29] introduced an optimized approach for tackling the fractional model of chimeric antigen receptor T (CAR-T) cell therapy in patients with T-cell leukemia.…”

Section: Introductionmentioning

confidence: 99%

Generalization of Bernoulli polynomials to find optimal solution of fractional hematopoietic stem cells model

Avazzadeh,

Hassani,

Ebadi

et al. 2024

Phys. Scr.

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The study introduces a fractional mathematical model in the Caputo sense for hematopoietic stem cell-based therapy, utilizing generalized Bernoulli polynomials (GBPs) and operational matrices to solve a system of nonlinear equations. The significance of the study lies in the potential therapeutic applications of hematopoietic stem cells (HSCs), particularly in the context of HIV infection treatment, and the innovative use of GBPs and Lagrange multipliers in solving the fractional hematopoietic stem cells model (FHSCM). The aim of the study is to introduce an optimization algorithm for approximating the solution of the FHSCM using GBPs and Lagrange multipliers, and to provide a comprehensive exploration of the mathematical techniques employed in this context. The research methodology involves formulating operational matrices for fractional derivatives of GBPs, conducting a convergence analysis of the proposed method, and demonstrating the accuracy of the method through numerical simulations. The major conclusion is the successful introduction of GBPs in the context of the FHSCM, featuring innovative control parameters and a novel optimization technique. The study also highlights the significance of the proposed method in providing accurate solutions for the FHSCM, thus contributing to the field of mathematical modeling in biological and medical research.

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“…Babesiosis has an important economic impact in the livestock sector of tropical regions [9][10][11][12]. The mathematical models of bovine Babesiosis have recently attracted an increasing amount of attention from researchers [13][14][15][16][17]. Aranda et al [14] investigated the dynamical behavior of the tick-borne diseases.…”

Section: Introductionmentioning

confidence: 99%

Volterra–Lyapunov Stability Analysis of the Solutions of Babesiosis Disease Model

Chien

Shateyi

2021

Symmetry

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This paper studies the global stability analysis of a mathematical model on Babesiosis transmission dynamics on bovines and ticks populations as proposed by Dang et al. First, the global stability analysis of disease-free equilibrium (DFE) is presented. Furthermore, using the properties of Volterra–Lyapunov matrices, we show that it is possible to prove the global stability of the endemic equilibrium. The property of symmetry in the structure of Volterra–Lyapunov matrices plays an important role in achieving this goal. Furthermore, numerical simulations are used to verify the result presented.

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Global Analysis of the Babesiosis Disease in Bovine and Tick Populations Model and Numerical Simulation with Multistage Modified Sinc Method

Cited by 5 publications

References 13 publications

A discrete epidemic model for bovine Babesiosis disease and tick populations

A discrete epidemic model for bovine Babesiosis disease and tick populations

Generalization of Bernoulli polynomials to find optimal solution of fractional hematopoietic stem cells model

Volterra–Lyapunov Stability Analysis of the Solutions of Babesiosis Disease Model

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