## Recent Advances in Mathematical Sciences: Selected Papers from ICREM7 2015Adem Kılıçman, Hari M. Srivastava, M. Mursaleen, Zanariah Abdul Majid This book features selected papers from The Seventh International Conference on Research and Education in Mathematics that was held in Kuala Lumpur, Malaysia from 25 - 27th August 2015. With chapters devoted to the most recent discoveries in mathematics and statistics and serve as a platform for knowledge and information exchange between experts from academic and industrial sectors, it covers a wide range of topics, including numerical analysis, fluid mechanics, operation research, optimization, statistics and game theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists, and provides an excellent overview of the latest research in mathematical sciences. |

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### Contents

ix | |

Boundedness and Stability of LeslieGower Model with SokolHowell Functional Response | 13 |

FifthOrder FourStage Explicit TrigonometricallyFitted RungeKuttaNyström Methods | 27 |

Modified Homotopy Perturbation Method for FredholmVolterra IntegroDifferential Equation | 37 |

Simultaneous Effects of Soret and Dufour on the Unsteady Stagnation Point Flow of Micropolar Fluid Towards a Permeable Stretching Sheet | 45 |

OneStep Implicit Hybrid Method for Solving Semiexplicit Index1 Differential Algebraic Equations | 61 |

An Artificial Intelligence Strategy for the Prediction of Wind Speed and Direction in Sarawak for Wind Energy Mapping | 71 |

Stability Analysis of Dengue Disease Using HostVector Model | 83 |

Simple Motion Evasion Differential Game of One Pursuer and One Evader | 99 |

108 | |

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2BDF 3BDF Advances in Mathematical Appl artificial neural network basic reproduction basic reproduction number behavior coefficient Comput DAEs dengue disease dengue fever denoted differential algebraic equations disease-free equilibrium endemic equilibrium point equation of system equilibrium point ETFRKN evader evasion differential game exact solution food chain model functional response homotopy perturbation method implicit hybrid method integral equations Ismail Kılıçman Lawan Leslie–Gower Malaysia e-mail mass transfer Math Mathematical Sciences matrix Media Singapore 2016 micropolar fluid nonlinear Numerical results Numerical solution obtain one-step implicit hybrid ordinary differential equations parameter predator proposed method pursuer rooted trees Runge–Kutta methods Science+Business Media Singapore sin po solve semi-explicit index-1 Soret and Dufour speed and direction Springer Science+Business Media stagnation point stretching sheet terrain Theorem Universiti Putra Malaysia unrooted trees wind energy wind speed prediction