Forest defoliation scenarios by Glenn Ledder

“…We consider the mathematical model originally created by Ludwig, Jones, and Holling to model the infestation of spruce forests in New Brunswick by the spruce budworm. …”
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On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process by Ali Turab, Awad A. Bakery, O. M. Kalthum S. K. Mohamed, Wajahat Ali

“…The goal of this paper is to look at the subject’s actions in such situations and provide a mathematical model that is appropriate for it. The existence of a unique solution to the suggested human learning model is examined using relevant fixed point results.…”
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Modeling and Analysis of Dynamic Social Ties in D2D Collaborative Video Transmission by Qi Zhang, Zufan Zhang, Tian Zeng, Xiaoke Li

“…Specifically, a stochastic mathematical model is established and analyzed, in which the combined effect of many factors such as interest, geographical position, career, social class, value system, and interaction is considered. …”
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Chemical Potential-Based Modeling of Shale Gas Transport by Jisheng Kou, Lingyun Chen, Amgad Salama, Jianchao Cai

“…In this paper, a new mathematical model of gas flow in shale formations is proposed, which uses gas density instead of pressure as the primary variable. …”
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Mechanical properties and failure analysis of PLA/copper composites fabricated by fused deposition modelling by Kumar R.V., Kumar K.R., Soms N.

“…The printer properties, i.e. the Nozzle Temperature and Printing speed, and the processing parameters, i.e. the Layer Thickness and the density of the infill are the most important parameters considered in this study. Mathematical models were developed to predict the strength of the composites as the process parameters were varied. …”
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Integrated Scheduling Optimization for Multi-Line Production and Transportation of Prefabricated Components Considering Shared Resources by Yiran Dan, Chengshuang Sun, Qianmai Luo

“…With on-time delivery and lower costs as the goals, a scheduling optimization mathematical model is established for this scenario. This article adopts the genetic algorithm to design the solution algorithm for this model, and the effectiveness of the model and algorithm is verified through an example. …”
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Model Value of Taiji Curve Algorithm in Economic Geographic and Natural Game Management Information System by Chengqi Xu, Kegong Chen

“…In order to study the role of tai chi curve algorithm in economic geography and natural ecological management and explore the application value of tai chi curve algorithm and its model, this study discusses the principle of Chinese tai chi diagram, using mathematical model construction method by the previous tai chi map and Pythagoras theorem clever results, produced the tai chi graph s curve algorithm, and discusses the application value of tai chi curve algorithm and its model from different angles; this study takes Zhangye geography as an example, which provides an applied research direction for the future scientific research of Chinese economic geography and also provides a clever connection with ecological correlation and nature; finally, it is found that the Taiji graph s curve algorithm can calculate the corresponding Yin and Yang values according to the balance point and relative deviation amount of the attribute state, and the results have an extraordinary influence in economic geography, information management system, natural ecology, and other aspects.…”
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Numerical Simulation of Pollutant Transport in Fractured Vuggy Porous Karstic Aquifers by Xiaolin Fan, Shuyu Sun, Wei Wei, Jisheng Kou

“…This paper begins with presenting a mathematical model for contaminant transport in the fractured vuggy porous media of a species of contaminant (PCP). …”
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Application of Soft Computing Paradigm to Large Deformation Analysis of Cantilever Beam under Point Load by Yanmei Cui, Yong Hong, Naveed Ahmad Khan, Muhammad Sulaiman

“…In this paper, a mathematical model for large deformation of a cantilever beam subjected to tip-concentrated load is presented. …”
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How and why do neurons generate complex rhythms with various frequencies? by Teresa Ree Chay, Young Seek Lee

“…In the first part of this review, we illustrate that such rhythms can be generated from simple yet elegant mathematical models. Chaos embedded in rhythmic activity has interesting characteristics that are not seen in other physical systems. …”
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Some fixed point results with the vector degree of nondensifiability in generalized Banach spaces and application on coupled Caputo fractional delay differential equations by Laksaci Noura, Hasan Fady, Boudaoui Ahmed, Mustafa Zead, Shatanawi Wasfi

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Positivity of Fundamental Matrix and Exponential Stability of Delay Differential System by Alexander Domoshnitsky, Roman Shklyar, Mikhail Gitman, Valery Stolbov

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Designing model for adaptive variable withdrawal rate strategies to control misaligned grains during directional solidification of large-sized complex-shaped turbine blades by Yang Liu, Fu Wang, Jing Wang, Qiang Yang, Dichen Li, Jiantao Wu

“…This study develops a simplified mathematical model that integrates blade and mold geometries, processing parameters affecting heat transfer, and the morphology of the liquidus isotherm. …”
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Improving diversification by a hybrid bat-Nelder-Mead algorithm and DDE for rapid convergence to solve global optimization by Enas Suhail, Mahmoud El-Alem, Omar Bazighifan, Ahmed Zekri

“…So, some algorithms contribute to improve mathematical models related to natural life problems and global optimization. …”
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A Bi-Objective Stochastic Model of Locating-Allocating-Routing Relief and Rescue in Disaster Response Conditions: An Accelerated Benders Decomposition by Behrooz Baygan, Ahmad Mehrabian, Mahdi Yousefi Nejad Attari, Mohammad Jafar Doostideilami

“…In this paper, using a scenario-based stochastic planning mathematical model, postdisaster relief is discussed. Also, attention has been paid to the distribution of vital items by using routing. …”
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Parachute-Payload System Flight Dynamics and Trajectory Simulation by Giorgio Guglieri

“…The results presented for a realistic case study define the sensitivity of the simulation outputs to the functional complexity of the mathematical model. Far from being an absolute address for the software designer, this paper tries to contribute to the area of interest with some technical considerations and clarifications.…”
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Study on Spacing Threshold of Nonsubmerged Spur Dikes with Alternate Layout by Xiaomeng Cao, Zhenghua Gu, Hongwu Tang

“…This paper investigated the spacing threshold of nonsubmerged spur dikes with alternate layout to classify the impact scale of spur dikes. A mathematical model was built based on standard k-ε model, finite volume method (FVM), and rigid lid assumption and was verified by experimental data. …”
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Optimization of Ni-Based WC/Co/Cr Composite Coatings Produced by Multilayer Laser Cladding by Andrea Angelastro, Sabina L. Campanelli, Giuseppe Casalino, Antonio D. Ludovico

“…The optimization procedure was worked out with a mathematical model that was supported by an experimental analysis, which studied the shape of the clad track generated by melting coaxially fed powders with a laser. …”
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Model Passengers’ Travel Time for Conventional Bus Stop by Guangzhao Xin, Wei Wang

“…This paper proposed a mathematical model for analyzing passengers’ travel time at conventional bus stop based on theory of stochastic service system. …”
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Formation of Residual Bubbles in Diesel Engine Nozzle and Their Influence on Initial Jet by Xiaonan Ni, Hua Wen

“…Establish a cavitation mathematical model to analyze the details of internal flow and initial jet. …”
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