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  1. Content type: Research

    This paper is concerned with the stability of a discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay, where the dispersal of both predators and prey is considered. A ...

    Authors: Jiqiang Feng and Zhiqiang Zhao

    Citation: Advances in Difference Equations 2019 2019:444

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  2. Content type: Research

    This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et a...

    Authors: Ghulam Farid, Naveed Latif, Matloob Anwar, Ali Imran, Muhammad Ozair and Madeeha Nawaz

    Citation: Advances in Difference Equations 2019 2019:439

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  3. Content type: Research

    For the boundary value problem (BVP) of a second-order partial differential equation on a plane triangle area, we propose a new algorithm based on the Adomian decomposition method (ADM) combined with a segment...

    Authors: Yin-shan Yun, Ying Wen, Temuer Chaolu and Randolph Rach

    Citation: Advances in Difference Equations 2019 2019:438

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  4. Content type: Research

    This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a nonlinear coupled implicit switched singular fractional differential system involving Laplace operator ...

    Authors: Manzoor Ahmad, Akbar Zada and Jehad Alzabut

    Citation: Advances in Difference Equations 2019 2019:436

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  5. Content type: Research

    We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions. Be...

    Authors: Yufeng Zhang, Na Bai and Hongyang Guan

    Citation: Advances in Difference Equations 2019 2019:435

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  6. Content type: Research

    We have presented the numerical analysis of a stochastic heroin epidemic model in this paper. The mean of stochastic heroin model is itself a deterministic solution. The effect of reproduction number has also ...

    Authors: M. Rafiq, Ali Raza, M. Usman Iqbal, Zubair Butt, Hafiza Anum Naseem, M. Ali Akram, M. Kamran Butt, Adil Khaliq, Qurat-ul-Ain and Shamrash Azam

    Citation: Advances in Difference Equations 2019 2019:434

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  7. Content type: Research

    In this paper, a stochastic SIRD model of Ebola with double saturated incidence rates and vaccination is considered. Firstly, the existence and uniqueness of a global positive solution are obtained. Secondly, ...

    Authors: Panpan Wang and Jianwen Jia

    Citation: Advances in Difference Equations 2019 2019:433

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  8. Content type: Research

    Porcine reproductive and respiratory syndrome (PRRS) is an important swine disease that affects many swine industries worldwide. The disease can cause reproductive failure and respiratory problems in a swine p...

    Authors: Phithakdet Phoo-ngurn, Chanakarn Kiataramkul and Farida Chamchod

    Citation: Advances in Difference Equations 2019 2019:432

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  9. Content type: Research

    In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also found for t...

    Authors: Muhammad Adeel, Khuram Ali Khan, Ðilda Pečarić and Josip Pečarić

    Citation: Advances in Difference Equations 2019 2019:430

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  10. Content type: Research

    The Euler scheme is one of the standard schemes to obtain numerical approximations of solutions of stochastic differential equations (SDEs). Its convergence properties are well known in the case of globally Li...

    Authors: S. Göttlich, K. Lux and A. Neuenkirch

    Citation: Advances in Difference Equations 2019 2019:429

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  11. Content type: Research

    In this paper, the sine-Gordon expansion method is used to obtain analytical solutions of the conformable space-time generalized reaction Duffing model and conformable space-time Eckhaus equation with the aid ...

    Authors: Nematollah Kadkhoda and Hossein Jafari

    Citation: Advances in Difference Equations 2019 2019:428

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  12. Content type: Research

    This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and ...

    Authors: Adem Kılıçman, Stuti Borgohain and Mehmet Küçükaslan

    Citation: Advances in Difference Equations 2019 2019:424

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  13. Content type: Research

    In this paper, we solve the variable-coefficient fractional diffusion-wave equation in a bounded domain by the Legendre spectral method. The time fractional derivative is in the Caputo sense of order

    Authors: Wenping Chen, Shujuan Lü, Hu Chen and Lihua Jiang

    Citation: Advances in Difference Equations 2019 2019:418

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  14. Content type: Research

    The fractional reaction–diffusion equation has profound physical and engineering background, and its rapid solution research is of important scientific significance and engineering application value. In this p...

    Authors: Xiaozhong Yang and Xu Dang

    Citation: Advances in Difference Equations 2019 2019:417

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  15. Content type: Research

    The main aim of this paper is to present a comparative study of modified analytical technique based on auxiliary parameters and residual power series method (RPSM) for Newell–Whitehead–Segel (NWS) equations of...

    Authors: Sunil Kumar, Amit Kumar, Shaher Momani, Mujahed Aldhaifallah and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2019 2019:413

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  16. Content type: Research

    In this paper, we propose three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang maps. The dynamics of the proposed fractional maps are investigated experimentally by means of ph...

    Authors: Amina-Aicha Khennaoui, Adel Ouannas, Samir Bendoukha, Giuseppe Grassi, Xiong Wang, Viet-Thanh Pham and Fawaz E. Alsaadi

    Citation: Advances in Difference Equations 2019 2019:412

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  17. Content type: Research

    Consider the simultaneous identification of the initial field and spatial heat source for heat conduction process from extra measurements with the two additional measurement data at different times. The unique...

    Authors: Bingxian Wang, Bin Yang and Mei Xu

    Citation: Advances in Difference Equations 2019 2019:411

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  18. 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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  19. 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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  20. 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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  21. 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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  22. 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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  23. 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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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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