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Proceedings of the International Conference in Mathematics and Application 2016

This issue is devoted to publish significant advances in difference equations and related research topics. Its goal is to stimulate further research and highlight recent advances  in these fields as well as to promote, encourage, and bring together researchers in the fields of applied mathematics that use difference equations as their springboard to develop a wide range of methodologies, tools and techniques applied in all fields of research. It is open to research articles on qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-values differential equations.
This special issue’s main aim is to spread new trends in these areas and promote the exchange of ideas between researchers who participate in the International Conference in Mathematics an Applications-Mahidol University to be organized by the Centre of Excellence in Mathematics, Commission on Higher Education, Thailand, during December 17-19 2016.

Edited by Yongwimon Lenbury, Graeme C. Wake and Hideaki Kaneko 

  1. Content type: Research

    Understanding the infectious diseases outbreak of algae can provide significant knowledge for disease control intervention and/or prevention. We consider here a disease caused by highly pathogenic organisms th...

    Authors: Artorn Nokkaew, Charin Modchang, Somkid Amornsamankul, Yongwimon Lenbury, Busayamas Pimpunchat and Wannapong Triampo

    Citation: Advances in Difference Equations 2017 2017:288

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  2. Content type: Research

    In this paper, by using the coincidence degree theory due to Mawhin and constructing suitable operators, we study the solvability for functional boundary value problems of second-order nonlinear differential e...

    Authors: Weihua Jiang and Bingzhi Sun

    Citation: Advances in Difference Equations 2017 2017:269

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  3. Content type: Research

    Porcine reproductive and respiratory syndrome (PRRS) gives rise to reproductive disorders in sows and problem with respiratory system in piglets and young pigs. This disease creates serious economic losses to ...

    Authors: Jeerawan Suksamran, Yongwimon Lenbury, Pairote Satiracoo and Chontita Rattanakul

    Citation: Advances in Difference Equations 2017 2017:215

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  4. Content type: Research

    In this paper, we investigate the problem of exponential stabilization criteria for a nonlinear system with mixed time-varying delays, including discrete interval and distributed time-varying delays. The time-...

    Authors: Patarawadee Prasertsang and Thongchai Botmart

    Citation: Advances in Difference Equations 2017 2017:199

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  5. Content type: Research

    Atherosclerosis usually occurs within the large arteries. It is characterized by the inflammation of the intima, which involves dynamic interactions between the plasma molecules; namely, LDL (low density lipop...

    Authors: Wanwarat Anlamlert, Yongwimon Lenbury and Jonathan Bell

    Citation: Advances in Difference Equations 2017 2017:195

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  6. Content type: Research

    The recent outbreak of mosquito-borne Zika virus (ZIKV) in Brazil, with estimated cases surpassing 1.5 million, has gained attention due to its rapid spread and neurological complications associated with the i...

    Authors: Nonthamon Chaikham and Wannika Sawangtong

    Citation: Advances in Difference Equations 2017 2017:177

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  7. Content type: Research

    In this paper, the definitions of q-symmetric exponential function and q-symmetric gamma function are presented. By a q-symmetric exponential function, we shall illustrate the Laplace transform method and define ...

    Authors: Mingzhe Sun and Chengmin Hou

    Citation: Advances in Difference Equations 2017 2017:166

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  8. Content type: Research

    Calcium signaling plays important physiological roles which range widely from activation of muscle, synaptic transmission, cell movement, fertilization, growth in the cell population, learning process and rete...

    Authors: Chontita Rattanakul and Yongwimon Lenbury

    Citation: Advances in Difference Equations 2017 2017:162

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  9. Content type: Research

    Even though the effect of release frequency of green lacewings in controlling the spread of mealybugs in a cassava field was investigated by Promrak and Rattanakul in 2015, the effect of increased global tempe...

    Authors: Jairaj Promrak and Chontita Rattanakul

    Citation: Advances in Difference Equations 2017 2017:161

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  10. Content type: Research

    This paper aims to study an unsteady electric field-driven and pulsatile pressure-driven flow of a Newtonian fluid in an elliptic cylindrical microchannel with Navier boundary wall slip. The governing equation...

    Authors: Pearanat Chuchard, Somsak Orankitjaroen and Benchawan Wiwatanapataphee

    Citation: Advances in Difference Equations 2017 2017:160

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  11. Content type: Research

    In this paper, we propose an impulsive mathematical model of bone formation and resorption accounting for the number of active osteoclastic cells, bone resorbing cells, and the number of active osteoblastic ce...

    Authors: Inthira Chaiya and Chontita Rattanakul

    Citation: Advances in Difference Equations 2017 2017:153

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  12. Content type: Research

    In this paper, we investigate the effect of prolactin on bone remodeling process with the impulsive supplement of parathyroid hormone. An impulsive mathematical model is developed and analyzed theoretically in...

    Authors: Inthira Chaiya and Chontita Rattanakul

    Citation: Advances in Difference Equations 2017 2017:147

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  13. Content type: Research

    The main aim of this research was to test if fractional-order differential equation models could give better fits than integer-order models to continuous glucose monitoring (CGM) data from subjects with type 1...

    Authors: Sasikarn Sakulrang, Elvin J Moore, Surattana Sungnul and Andrea de Gaetano

    Citation: Advances in Difference Equations 2017 2017:150

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  14. Content type: Research

    A mathematical model of the infection of CD4+ T-cells by HIV that includes the effects of treatment by a reverse transcriptase inhibitor (RTI) and a protease inhibitor (PI) is studied. The model includes three...

    Authors: Rachadawan Darlai and Elvin J Moore

    Citation: Advances in Difference Equations 2017 2017:138

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    The Erratum to this article has been published in Advances in Difference Equations 2017 2017:265

  15. Content type: Research

    In this paper, the linearization of third-order ordinary differential equations, which are the transformed equations of the quintic nonlinear beam equation, is presented. First of all, a third-order ordinary d...

    Authors: Nuntawan Sripana and Waraporn Chatanin

    Citation: Advances in Difference Equations 2017 2017:119

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  16. Content type: Research

    In this paper, we deal with a coupled system of singular p-Laplacian differential equations involving fractional differential-integral conditions. By employing Schauder’s fixed point theorem and the upper and low...

    Authors: Ying He

    Citation: Advances in Difference Equations 2016 2016:209

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  17. Content type: Research

    By means of coincidence degree theory, we present an existence result for the solution of a higher-order coupled system of nonlinear fractional differential equations with infinite-point boundary conditions at...

    Authors: Lei Hu

    Citation: Advances in Difference Equations 2016 2016:200

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