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Proceedings of the International Conference in Mathematics and Applications

This issue is devoted to publish significant advances in difference equations and related research findings that are contributed by participants of 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 16-18, 2018. The goal of the conference is to bring together international researchers in order to promote, encourage, and stimulate further research and highlight recent advances  in the fields of applied mathematics that utilize difference equations as the springboard to develop a wide range of methodologies, tools and techniques applied in all fields of research. Contributions to the conference include research articles on qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-values differential equations. Significant and relevant applications of the above are also encouraged.
This special issue’s main aim is to shine the lights on selected important research discoveries disseminated at the conference that are deemed to be of high quality and innovative value. So that these advances in research reported at the conference find more visibility and impact, it is important to have a venue for their publication. Advances in Difference Equations is the best option by which full papers from the work presented at the conference have the opportunity to be peer reviewed and disseminated to a wider audience.

Edited by Yongwimon Lenbury, Graeme C. Wake, and Christian Licht

  1. 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

    Content type: Research

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  2. 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

    Content type: Research

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  3. This paper studies the transient slip flow and heat transfer of a fluid driven by the oscillatory pressure gradient in a microchannel of elliptic cross section. The boundary value problem for the thermal-slip ...

    Authors: Benchawan Wiwatanapataphee, Wannika Sawangtong, Nathnarong Khajohnsaksumeth and Yong Hong Wu

    Citation: Advances in Difference Equations 2019 2019:342

    Content type: Research

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  4. This paper mainly focuses on solitary waves excited by topography with time-dependent variable coefficient. By making use of multiple scale expansion and multiple level approximation method, a variable coeffic...

    Authors: Juanjuan Ji, Lanfang Zhang, Longxue Wang, Shengping Wu and Lihua Zhang

    Citation: Advances in Difference Equations 2019 2019:320

    Content type: Research

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  5. One of the important mechanisms of the oil weathering processes (OWP) is spreading of oil spills. This mechanism is the horizontal expansion of the oil slick with inertia-gravity, gravity-viscosity, and viscou...

    Authors: Polapat Khlongkhoi, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:306

    Content type: Research

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  6. In this paper, we propose and analyze a mathematical model of mealybugs and green lacewings with time delay to investigate the population dynamics of mealybugs (a major insect pest of cassava) and green lacewi...

    Authors: Kittipol Jankaew, Chontita Rattanakul and Warunee Sarika

    Citation: Advances in Difference Equations 2019 2019:283

    Content type: Research

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  7. Drug resistance has become a problem of grave concern for members of the medical profession for many decades. More and more bacterial infections cannot be contained. Therefore it is of imperative importance fo...

    Authors: Suranath Chomcheon, Yongwimon Lenbury and Warunee Sarika

    Citation: Advances in Difference Equations 2019 2019:274

    Content type: Research

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  8. Oil spill is the most important cause of marine pollution. It affects marine ecosystem, an economic system, and human society. The main chemical and physical properties are the so-called oil weathering process...

    Authors: Satit Sriwichien, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:267

    Content type: Research

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  9. In this work, a mathematical model is proposed to investigate the population dynamics of brown planthopper, which is a major insect pest of rice, and its natural enemies namely Cyrtorhinus Lividipennis and Lycosa...

    Authors: Songabsorn Manorod and Chontita Rattanakul

    Citation: Advances in Difference Equations 2019 2019:265

    Content type: Research

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  10. This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occur...

    Authors: Nitithorn Sukwong, Panumart Sawangtong, Sanoe Koonprasert and Wannika Sawangtong

    Citation: Advances in Difference Equations 2019 2019:264

    Content type: Research

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  11. The street under a skytrain station can be seen in many urban cities. Due to the cavity geometry of the street canyon, natural ventilation is decreased. The reduction of the ventilation causes the heat accumul...

    Authors: Surapa Pothiphan, Nathnarong Khajohnsaksumeth and Benchawan Wiwatanapataphee

    Citation: Advances in Difference Equations 2019 2019:258

    Content type: Research

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  12. In this work, a delay-interval-dependent robust stability problem for linear parameter dependent (LPD) discrete-time system with discrete and distributed time-varying delays and nonlinear uncertainties is addr...

    Authors: Kanit Mukdasai and Narongrit Kaewbanjak

    Citation: Advances in Difference Equations 2019 2019:242

    Content type: Research

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  13. A static mixer is a fidelity engineered device for the continuous mixing of fluid/solid materials. To meet the requirements for mixing purpose, a proper design of the static mixer is important. In this study, ...

    Authors: Noraphon Bunkluarb, Wannika Sawangtong, Nathnarong Khajohnsaksumeth and Benchawan Wiwatanapataphee

    Citation: Advances in Difference Equations 2019 2019:238

    Content type: Research

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  14. In this paper, a cellular automata model is developed in order to investigate the control of cassava mealybugs in a cassava field when the wasp Anagyrus lopezi is used as the biological control agent. The model i...

    Authors: Supassorn Aekthong and Chontita Rattanakul

    Citation: Advances in Difference Equations 2019 2019:237

    Content type: Research

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  15. In this paper, we analyze the load deflection behavior of the superstructure elements of beam bridges under two different beam–beam connection designs. We present a mathematical model for beam–bridge structura...

    Authors: Doungporn Wiwatanapataphee, Nathnarong Khajohnsaksumeth and Yong Hong Wu

    Citation: Advances in Difference Equations 2019 2019:225

    Content type: Research

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  16. So far, mobility in fish population has not been given sufficient attention, although movement and spatial heterogeneity can be an important dynamic feature that plays a critical role in their exploitation. Ha...

    Authors: Chontita Rattanakul, Yongwimon Lenbury and Jeerawan Suksamran

    Citation: Advances in Difference Equations 2019 2019:218

    Content type: Research

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  17. An oil spill is the release of liquid petroleum into the marine ecosystem leading to huge damages in the natural resources. Prediction of oil spill spreading can help in handling accidental oil spills. This st...

    Authors: Kittipong Srikhaetai, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:214

    Content type: Review

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    The Correction to this article has been published in Advances in Difference Equations 2019 2019:366

  18. From the standpoint of fishery management, an essential component of the basic information upon which policy can be based consists of intelligence from field data and computations. In certain situations, these...

    Authors: Jeerawan Suksamran and Yongwimon Lenbury

    Citation: Advances in Difference Equations 2019 2019:205

    Content type: Research

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  19. In this paper, we expanded our computation to obtain a simpler and detailed reduction and normal form of a delayed reaction–diffusion differential system with Bogdanov–Takens (B–T) singularity. By using the ce...

    Authors: Longyue Li, Jianzhi Cao and Yingying Mei

    Citation: Advances in Difference Equations 2019 2019:204

    Content type: Research

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  20. Salinity refers to the amount of salt in rivers, where the salt can be in many different forms. There are two main methods of defining the concentration of salt in water such as the total dissolved solid measu...

    Authors: Pornpon Othata and Nopparat Pochai

    Citation: Advances in Difference Equations 2019 2019:203

    Content type: Research

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  21. This paper regards function matrix projective synchronization of two different non-dissipatively coupled complex dynamical networks for different dimensions and different nodes. In this kind of complex dynamic...

    Authors: Yanchao Shi, Xin Wang, Xiangyan Zeng and Yang Cao

    Citation: Advances in Difference Equations 2019 2019:198

    Content type: Research

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  22. We confirm the study (Licht in C. R., Méc. 341:697–700, 2013) devoted to the quasi-static response for a visco-elastic Kelvin–Voigt plate whose thickness goes to zero. For each thickness parameter, the quasi-stat...

    Authors: Yotsawat Terapabkajornded, Somsak Orankitjaroen and Christian Licht

    Citation: Advances in Difference Equations 2019 2019:186

    Content type: Research

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  23. In this paper, we investigate the effect of insecticide on the population dynamics of brown planthoppers (a major insect pest of rice) and Cyrtorhinus lividipennis (one of the natural enemies of brown planthopper...

    Authors: Inthira Chaiya and Chontita Rattanakul

    Citation: Advances in Difference Equations 2019 2019:182

    Content type: Research

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  24. Algae are fast growing microorganisms and beneficial in many ways, especially concerning food supplement, alternative energy, and wastewater treatment. Naturally, they need a light:dark regime for productive p...

    Authors: Sutamas Satthong, Kritsana Saego, Pongpatai Kitrungloadjanaporn, Narin Nuttavut, Somkid Amornsamankul and Wannapong Triampo

    Citation: Advances in Difference Equations 2019 2019:170

    Content type: Research

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  25. Given a function F holomorphic on a neighborhood of some compact subset of the complex plane, we prove that if the zeros of the denominators of generalized Padé approximants (orthogonal Padé approximants and Padé...

    Authors: Nattapong Bosuwan

    Citation: Advances in Difference Equations 2019 2019:137

    Content type: Research

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