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  1. Content type: Research

    In this research work, a mathematical model related to HIV-I cure infection therapy consisting of three populations is investigated from the fractional calculus viewpoint. Fractional version of the model under...

    Authors: Aliyu Isa Aliyu, Ali Saleh Alshomrani, Yongjin Li, Mustafa Inc and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:408

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  2. Content type: Research

    The key objective of this paper is to study the imprecise biological complexities in the interaction of two species pertaining to harvesting threshold. It is explained by taking the prey–predator model with im...

    Authors: Najeeb Alam Khan, Oyoon Abdul Razzaq, Sankar Parsad Mondal and Qammar Rubbab

    Citation: Advances in Difference Equations 2019 2019:405

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  3. Content type: Research

    In this paper, we develop a fundamental dynamic inequality, a generalization of comparison theorem and reproduce the proofs of some nonlinear integral Pachpatte’s inequalities by using their continuous analogu...

    Authors: Sarah Sarfaraz, Naveed Ahmad and Ghaus ur Rahman

    Citation: Advances in Difference Equations 2019 2019:402

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  4. Content type: Research

    In this work we present a reduction result for discrete-time systems with two time scales. In order to be valid, previous results in the field require some strong hypotheses that are difficult to check in prac...

    Authors: Luis Sanz, Rafael Bravo de la Parra, Marcos Marvá and Eva Sánchez

    Citation: Advances in Difference Equations 2019 2019:401

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  5. Content type: Research

    Diffusion-driven instability is a basic nonlinear mechanism for pattern formation. Therefore, the way of population diffusion may play a determinative role in the spatiotemporal dynamics of biological systems....

    Authors: Tousheng Huang, Huayong Zhang, Zhengran Hu, Ge Pan, Shengnan Ma, Xiumin Zhang and Zichun Gao

    Citation: Advances in Difference Equations 2019 2019:399

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  6. Content type: Research

    A non-autonomous almost periodic prey–predator system with impulsive effects and multiple delays is proposed in this paper, Holling’s type-IV systems and ratio-dependent functional responses are also involved ...

    Authors: Baodan Tian, Pengkai Zhang, Jiamei Li, Yong Zhang and Liu Yang

    Citation: Advances in Difference Equations 2019 2019:395

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  7. Content type: Research

    In this paper, we will state and prove some weighted dynamic inequalities of Opial-type involving integrals of powers of a function and of its derivative on time scales which not only extend some results in th...

    Authors: A. A. El-Deeb, Fatma M. Kh, Gamal A. F. Ismail and Zareen A. Khan

    Citation: Advances in Difference Equations 2019 2019:393

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  8. Content type: Research

    This paper is committed to investigating outer-synchronization of fractional-order neural networks with deviating argument via centralized and decentralized data-sampling approaches. Considering the low cost a...

    Authors: Weike Cheng, Ailong Wu, Jin-E Zhang and Biwen Li

    Citation: Advances in Difference Equations 2019 2019:390

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  9. Content type: Research

    Using the monotone iterative technique, we investigate the existence of iterative positive solutions to a coupled system of fractional differential equations supplemented with multistrip and multipoint mixed b...

    Authors: Xiaodi Zhao, Yuehan Liu and Huihui Pang

    Citation: Advances in Difference Equations 2019 2019:389

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  10. Content type: Research

    In this paper, our purpose is to present a wavelet Galerkin method for solving the time-fractional KdV-Burgers-Kuramoto (KBK) equation, which describes nonlinear physical phenomena and involves instability, di...

    Authors: Aydin Secer and Neslihan Ozdemir

    Citation: Advances in Difference Equations 2019 2019:386

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  11. Content type: Research

    We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis i...

    Authors: A. M. A. El-Sayed and F. M. Gaafar

    Citation: Advances in Difference Equations 2019 2019:382

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  12. Content type: Research

    The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-ove...

    Authors: Muhammad Sajjad Shabbir, Qamar Din, Muhammad Safeer, Muhammad Asif Khan and Khalil Ahmad

    Citation: Advances in Difference Equations 2019 2019:381

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  13. Content type: Research

    This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties. One of o...

    Authors: Thanit Nanthanasub, Boriboon Novaprateep and Narongpol Wichailukkana

    Citation: Advances in Difference Equations 2019 2019:379

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  14. Content type: Research

    In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping t...

    Authors: Nauman Khalid, Muhammad Abbas, Muhammad Kashif Iqbal and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:378

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  15. Content type: Research

    This paper deals with the model of fractional HIV-1 infection of CD4+T cells transformation with homogeneous Neumann boundary conditions. Numerical methods for solving fractional time differential equations are d...

    Authors: Kunwithree Phramrung, Anirut Luadsong and Nitima Aschariyaphotha

    Citation: Advances in Difference Equations 2019 2019:377

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  16. Content type: Research

    Recently, spaces of ideal convergent sequences of bounded linear operators were studied by Khan et al. (Numer. Funct. Anal. Optim. 39:1278-1290, 2018). This has motivated us to propose the intuitionistic fuzzy I-...

    Authors: Vakeel A. Khan, Mobeen Ahmad, Hira Fatima and Mohd Faisal Khan

    Citation: Advances in Difference Equations 2019 2019:375

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  17. Content type: Research

    In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality...

    Authors: Jian Li, Haibiao Zheng and Qingsong Zou

    Citation: Advances in Difference Equations 2019 2019:374

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  18. Content type: Research

    In this paper, a prey-predator model with Allee effect and Holling type-I functional response is established, and its dynamical behaviors are studied in detail. The existence, boundedness and stability of the ...

    Authors: Yong Ye, Hua Liu, Yumei Wei, Kai Zhang, Ming Ma and Jianhua Ye

    Citation: Advances in Difference Equations 2019 2019:369

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  19. Content type: Research

    The fractional sub-diffusion equation, which is obtained by replacing the time derivative in ordinary diffusion by a fractional derivative of order ϑ with http://static-content.springer.com/image/art%3A10.1186%2Fs13662-019-2302-2/13662_2019_2302_Article_IEq1.gif ...

    Authors: Zhonglian Ma, Mohammad Hossein Heydari, Zakieh Avazzadeh and Carlo Cattani

    Citation: Advances in Difference Equations 2019 2019:367

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  20. Content type: Correction

    After publication of this article [1], it was brought to our attention that the article type should be “Research” rather than “Review”.

    Authors: Kittipong Srikhaetai, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:366

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    The original article was published in Advances in Difference Equations 2019 2019:214

  21. Content type: Research

    A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization...

    Authors: Tayyaba Akram, Muhammad Abbas, Ahmad Izani Ismail, Norhashidah Hj. M. Ali and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:365

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  22. Content type: Research

    This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, ...

    Authors: Lidong Huang, Xingshu Chen, Xuewen Tan, Xiaochou Chen and Xinzhi Liu

    Citation: Advances in Difference Equations 2019 2019:360

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  23. Content type: Research

    A Lotka–Volterra predator–prey model incorporating predator cannibalism is proposed and studied in this paper. The existence and stability of all possible equilibria of the system are investigated. Our study s...

    Authors: Hang Deng, Fengde Chen, Zhenliang Zhu and Zhong Li

    Citation: Advances in Difference Equations 2019 2019:359

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

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