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Bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals

International Journal of Biomathematics 2023年第6期16卷 289-312页

作者： z.Eskandari R.Khoshsiar Ghaziani z.avazzadeh Department of Mathematics Faculty of Science Fasa UniversityFasaIran Department of Mathematical Sciences Shahrekord University ShahrekordIran Department of Mathematical Sciences University of South Africa FloridaSouth Africa

This study focuses on the stability and local bifurcations of a discrete-time SIR epidemic model with logistic growth of the susceptible individuals analytically,and *** analytical results are obtained using thenormal form technique and numerical results are obtained using the numerical continuation *** this model,a number of bifurcations are studied,including the transcritical(pitchfork)and fip bifurcations,the Neimark-Sacker(NS)bifurcations,and the strong resonance *** especially determine the dynamical behaviors of the model for higher iterations up to *** simulation is employed to present a closed invariant curve emerging about an NS point,and its breaking down to several closed invariant curves and eventuality giving rise to a chaotic strange attractor by increasing the bifurcation parameter.

关键词： SIR epidemic model stability,bifurcation critical normal form coefficient numerical continuation method

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Traveling wave solutions of the nonlinear Gilson-Pickering equation in crystal lattice theory

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Journal of Ocean Engineering and Science 2024年第1期9卷 40-49页

作者： A.T.Nguyen O.Nikan z.avazzadeh Division of Applied Mathematics Science and Technology Advanced InstituteVan Lang UniversityHo Chi Minh CityVietnam Faculty of Technology Van Lang UniversityHo Chi Minh CityVietnam School of Mathematics Iran University of Science and TechnologyNarmakTehranIran Department of Applied Mathematics Xi’an Jiaotong-Liverpool UniversitySuzhou 215123China

This paper focuses on obtaining the traveling wave solutions of the nonlinear Gilson-Pickering equa-tion(GPE),which describes the prorogation of waves in crystal lattice theory and plasma *** solution of the GPE is approximated via the finite difference technique and the localized meshless radial basis function generated finite *** association of the technique results in a meshless approach that does not require linearizing the nonlinear *** the first step,the PDE is converted to a system of nonlinear ODEs with the help of the radial *** the second step,a high-order ODE solver is adopted to discretize the nonlinear ODE *** global collocation techniques pose a considerable computationl burden due to the calculation of the dense algebraic *** proposed method approx-imates differential operators over the local support domain,leading to sparse differentiation matrices and decreasing the computational *** results and comparisons are provided to confirm the efficiency and accuracy of the method.

关键词： Nonlinear Gilson–Pickering equation Soliton wave solutions Meshless technique RBF LRBF-FD Optimal shape parameter

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Solution for generalized fuzzy fractional Kortewege-de Varies equation using a robust fuzzy double parametric approach

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Journal of Ocean Engineering and Science 2023年第6期8卷 602-622页

作者： L.Verma R.Meher z.avazzadeh O.Nikan Department of Applied Mathematics&Humanities S.V.National Institute of TechnologySurat 395007India Department of Applied Mathematics Xi’an Jiaotong-Liverpool UniversitySuzhou 215123China School of Mathematics Iran University of Science and TechnologyNarmakTehran 16846-13114Iran

The nonlinear Kortewege-de Varies(KdV)equation is a functional description for modelling ion-acoustic waves in plasma,long internal waves in a density-stratified ocean,shallow-water waves and acoustic waves on a crystal *** paper focuses on developing and analysing a resilient double parametric analytical approach for the nonlinear fuzzy fractional KdV equation(FFKdVE)under gH-differentiability of Caputo fractional order,namely the q-Homotopy analysis method with the Shehu transform(q-HASTM).A triangular fuzzy number describes the Caputo fractional derivative of orderα,0zzy velocity profiles with crisp and fuzzy conditions at different spatial positions are in-vestigated using a robust double parametric form-based q-HASTM with its convergence *** ob-tained results are compared with existing works in the literature to confirm the efficacy and effectiveness of the method.

关键词： Fuzzy set Double parametric approach Hukuhara differentiability Shehu transform KdV equation q-HAShTM Caputo fractional derivative

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Numerical treatment of temporal-fractional porous medium model occurring in fractured media

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Journal of Ocean Engineering and Science 2023年第5期8卷 481-499页

作者： R.Meher J.Kesarwani z.avazzadeh O.Nikan Department of Applied Mathematics&Humanities S.V.National Institute of TechnologySurat 395007India Department of Applied Mathematics Xi’an Jiaotong-Liverpool UniversitySuzhou 215123China School of Mathematics Iran University of Science and TechnologyNarmakTehran 16846-13114Iran

This paper proposes a temporal-fractional porous medium model(T-FPMM)for describing the co-current and counter-current imbibition,which arises in a water-wet fractured porous *** correlation be-tween the co-current and counter-current imbibition for the fractures and porous matrix are examined to determine the saturation and recovery rate of the *** different fractional orders in both porous matrix and fractured porous media,the homotopy analysis technique and its stability analysis are used to explore the parametric behavior of the saturation and recovery ***,the effects of wettability and inclination on the recovery rate and saturation are studied for distinct fractional values.

关键词： Fractured porous media Caputo fractional derivative Co-current imbibition Time-fractional partial differential equation

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