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Dynamics of a predator-prey model with nonlinear incidence rate, Crowley-Martin type functional response and disease in prey population

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Ecological Genetics and Genomics 2019年 10卷

作者： Mortoja, Sk Golam Panja, Prabir Mondal, Shyamal Kumar Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 WB India Department of Applied Science Haldia Institute of Technology Haldia Purba Midnapore 721657 WB India

In this paper, a delayed predator-prey model has been developed. Here, on the basis of infectious disease, the prey population has been divided into two sub-populations such as (i) susceptible prey and (ii) infected prey population. It is also assumed that a predator may consume both susceptible prey as well as infected prey. Also here, the Crowley-Martin type functional form has been taken to consume the prey (both susceptible and infected) population by the predator. It also considers two types of time delays in this model, (i) one is disease transmission delay when susceptible prey moves to infected prey stage and (ii) other is predator maturation delay. As the predator consumes both susceptible and infected prey, so we have incorporated the fact in this model that disease in the prey species also effect on predator population growth. Here, positivity and boundedness of solutions of our proposed model have been discussed. Then calculating different equilibrium points, the stability of the system have been discussed around those. In this paper, the Hopf bifurcation analysis has been done for non-delayed system with respect to the crowding coefficient. Finally, some numerical simulations have been presented to validate our theoretical findings. © 2018 Elsevier Inc.

关键词： Crowley-Martin functional response Hopf bifurcation Nonlinear incidence rate Predator-prey model Stability analysis Time delay

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Multi-criteria Radio Frequency Identification Approach for Manufacturing Company Selection Based on Partitioned Maclaurin Symmetric Mean Operators Under Complex Intuitionistic Fuzzy Set Environment

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International Journal of Fuzzy Systems 2024年第5期26卷 1730-1748页

作者： Azam, Muhammad Jana, Chiranjibe Khan, Muhammad Sajjad Ali Pal, Madhumangal Xin, Qin Yang, Shilin Sarkar, Biswajit Faculty of Science Beijing University of Technology Beijing100022 China Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India Department of Mathematics Khushal Khan Khattak University Karak Khyber Pakhtunkhwa Karak27200 Pakistan Faculty of Science and Technology University of the Faroe Islands Tórshavn Faroe Islands Department of Industrial Engineering Yonsei University 50 Yonsei-ro Sinchon-dong Seodaemun-gu Seoul03722 Korea Republic of Center for Global Health Research Saveetha Medical College Saveetha Institute of Medical and Technical Sciences Saveetha University Tamil Nadu 600077 Chennai India Department of Industrial Engineering and Management National Taipei University of Technology Taipei City 106344 Taiwan Chennai602105 India

The theory of intuitionistic fuzzy sets (IFSs) plays an essential role to deal with uncertainty and ambiguity. However, the IFSs deal only with anticipation, not periodicity. But, complex IFSs (CIFS) can handle both uncertainties and periodicity at a time. Therefore, this paper focuses on a new multi-criteria decision making (MCDM) approach using Maclaurin symmetric mean (MSM) operator in connection with the CIFS setting. Then, we develop some CIF partitioned based MSM (CIFPMSM) operators and their weighted form by considering that all the criteria can be arranged into some groups. The proposed operators not only deal with the interrelationship among criteria but also deal with the partitioned relationship among criteria. We discuss the properties of these proposed operators and investigate their cases. Finally, a decision-making approach for radio frequency identification (RFID) for manufacturing companies is developed based on the proposed operators and compared the results with the existing method to show the application and feasibility of the proposed method. © The Author(s) under exclusive licence to Taiwan Fuzzy Systems Association 2024.

关键词： Decision making

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A G-covering subgroup system of a finite group for some classes of σ-soluble groups

arXiv

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arXiv 2021年

作者： Liu, A-Ming Guo, W. Safonova, Inna N. Skiba, Alexander N. School of Science Hainan University Haikou570228 China Department of Applied Mathematics and Computer Science Belarusian State University Minsk220030 Belarus Department of Mathematics and Technologies of Programming Francisk Skorina Gomel State University Gomel246019 Belarus

Let F be a class of group and G a finite group. Then a set Σ of subgroups of G is called a G-covering subgroup system for the class F if G ∈ F whenever Σ ⊆ F. We prove that: If a set of subgroups Σ of G contains at least one supplement to each maximal subgroup of every Sylow subgroup of G, then Σ is a G-covering subgroup system for the classes of all σ-soluble and all σ-nilpotent groups, and for the class of all σ-soluble P σT -groups. This result gives positive answers to questions 19.87 and 19.88 from the Kourovka *** Codes 20D10 © 2021, CC BY.

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Quadripartitioned Neutrosophic Graph Structures

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Neutrosophic Sets and Systems 2022年 51卷 269-294页

作者： Hussain, S. Satham Rashmonlou, Hossein Mofidnakhaei, F. Hussain, R Jahir Sahoo, Sankar Broumi, Said PG & Research Department of Mathematics Jamal Mohamed College Tamilnadu Trichy India Department of Mathematics University of Mazandarn Babolsar Iran Department of Physics Sari Branch Islamic Azad University Sari Iran Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Laboratory of Information Processing Faculty of Science Ben M’Sik University Hassan II Casablanca Morocco

The quadripartitioned neutrosophic set is the partition of indeterminacy function of the neutrosophic set into contradiction part and ignorance part. In this work, the concept of quadripartitioned neutrosophic graph structures and its properties are invented. The strong, tree, Φ − permutation and Φ − complement of quadripartitioned neutrosophic graph structure are investigated. The operations like Cartesian Product, cross product, lexicographic product, composition in graph structures and join operations are established. © 2022, Neutrosophic Sets and Systems. All Rights Reserved.

关键词： Graphic methods

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Hybrid Structures applied to Subalgebras of BCH-Algebras

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Security and Communication Networks 2021年 2021卷

作者： Muhiuddin, G. Al-Kadi, D. Khan, W.A. Jana, C. Department of Mathematics University of Tabuk Tabuk71491 Saudi Arabia Department of Mathematics and Statistic College of Science Taif University P.O. Box 11099 Taif21944 Saudi Arabia Department of Mathematics and Natural Sciences Prince Mohammad Bin Fahd University P.O. Box 1664 Al Khobar31952 Saudi Arabia Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India

The algebraic structures have many applications in coding theory, cryptography, and security networks. In this paper, the notion of hybrid subalgebras of BCH-algebras is introduced and related properties are investigated. Moreover, some characterizations of hybrid subalgebras of BCH-algebras are given. Furthermore, we state and prove some theorems in hybrid subalgebras of BCH-algebras. The homomorphic images and inverse images of fuzzy BCH-subalgebras are studied and discussed. © 2021 G. Muhiuddin et al.

关键词： Algebra

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A new economic order quantity model for deteriorated items under the joint effects of stock dependent demand and inflation

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Decision Analytics Journal 2023年 8卷

作者： Mallick, Rabin Kumar Patra, Kartik Mondal, Shyamal Kumar Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University W.B. Midnapore 721 102 India Department of Mathematics Vivekananda Satavarshiki Mahavidyalaya Manikpara W.B. Jhargram 721513 India

In the present market scenario, it is seen that commodity is attracted by the stock of the items. Considering this fact in this present work, the demand for the item is considered as stock dependent in an inventory control system, where the items are deteriorating in nature. When the number of items in the stock increases, the number of deteriorations also increases. Also, this is important to know for a retailer that when an order will be placed and when the order will be received from the supplier. So, the lead time has an important role in the inventory control system in this stock-dependent demand inventory model. Also, it is seen that the market price of any item may increase gradually with time. Considering this phenomena, the inflation has been incorporated in this work. Here, the proposed model has been analyzed in a finite time horizon. From our analysis, the optimal profit has been calculated for optimal replenishment period of each cycle. Also, depending on the changes in the parameters such as demand, stock, and deterioration, the changes in optimal profit have been analyzed numerically and graphically in the numerical section and the effects of inflation also has been analyzed in this section. As the parameters associated with the system are not always deterministic, so uncertainty arises in the model. To remove this uncertainty, the model has been extended to a fuzzy model considering the q-fuzzy membership function. The fuzzy model has been defuzzified using the Center of Gravity (COG) method and fuzzy extension principle. Also, the fuzzy model has been analyzed by numerical illustration and some sensitivity analysis have been shown corresponding to different values of q and different membership values of the fuzzy parameters. © 2023 The Author(s)

关键词： Deterioration Inflation Inventory Lead time Markup price q-fuzzy number

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Fuzzy vs neural network models for environmental decision support system implementation aiming to standardise the multiparametric decision in a Drinking Water Plant with Electrodialysis Reversal 8

Fuzzy vs neural network models for environmental decision su...

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8th International Congress on Environmental Modelling and Software - Environmental Modelling and Software for Supporting a Sustainable Future, iEMSs 2016

作者： Dalmau, Montse Monclús, Hèctor Espasa, Joan Atanasova, Natasa Poch, Manel Emiliano, Pere Capdevila, Oriol González, Santiago Valero, Fernando Institute of the Environment University of Girona Girona CataloniaE-17003 Spain Logic and Programming Research Group Department of Computer Science Applied Mathematics and Statistics University of Girona Girona CataloniaE-17003 Spain ATLL-Concessionària de la Generalitat de Catalunya Sant Martí de l'Erm 30 Sant Joan Despí Barcelona CataloniaE08970 Spain

ISBN: (纸本)9788890357459

The development of an environmental decision support system (EDSS) by means of two different aims to support the operators' decisions in the drinking water treatment plant (DWTP), equipped with the biggest electrodialysis reversal (EDR) in the world. A fuzzy artificial neural network (ANN) modelling and adaptive network-based fuzzy inference system (ANFIS) have been compared for optimizing the decision: how to manage water blending ratios from EDR and conventional treatment of the drinking water plant, evaluating Llobregat River characteristics (inlet DWTP), current operating conditions of DWTP, weather conditions and distribution requirements on-line. This tool has been tested among 4,5 months in the facility, showing better tendencies regarding the ANFIS model in comparison to the ANN model. A further application of the ANN and ANFIS process models, tested and validated, will be integrated into a process-controlled architecture of the EDSS. © 2016 Environmental Modelling and Software for Supporting a Sustainable Future, Proceedings - 8th International Congress on Environmental Modelling and Software, iEMSs 2016. All rights reserved.

关键词： Fuzzy inference

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Non-Intrusive MC/DC Measurement Based on Traces

Non-Intrusive MC/DC Measurement Based on Traces

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Theoretical Aspects of Software Engineering (TASE)

作者： Faustin Ahishakiye Svetlana Jakšić Volker Stolz Felix Dino Lange Malte Schmitz Daniel Thoma Department of Computing Mathematics and Physics Western Norway University of Applied Sciences Bergen Norway Western Norway University of Applied Sciences Bergen Norway University of Lubeck Lubeck Germany Institute for Software Engineering and Programming Languages University of Lübeck Lübeck Germany

We present a novel, non-intrusive approach to MC/DC coverage measurement using modern processor-based tracing facilities. Our approach does not require recompilation or instrumentation of the software under test. Instead, we use the Intel Processor Trace (Intel PT) facility present on modern Intel CPUs. Our tooling consists of the following parts: a frontend that detects so-called decisions (Boolean expressions) that are used in conditionals in C source code, a mapping from conditional jumps in the object code back to those decisions, and an analysis that computes satisfaction of the MC/DC coverage relation on those decisions from an execution trace. This analysis takes as input a stream of instruction addresses decoded from Intel PT trace data, which was recorded while running the software under test. We describe our architecture and discuss limitations and future work.

关键词： Software engineering

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Optimum Production through variational principle with the time quadratic demand, fuzzy time period and fuzzy integrand

arXiv

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arXiv 2023年

作者： Roul, J.N. Maity, K. Kar, S. Maiti, M. Patha Bhavana Visva-Bharati West Bengal Santiniketan731235 India Department of Mathematics M G Mahavidyalaya Bhupatinagar W.B. 721425 India Department of Mathematics National Institute of Technology W.B. Durgapur713209 India Department of Applied Mathematics with Oceanology Computer Programming Vidyasagar University W.B. Midnapore711201 India

Here a real life optimal control problem under fuzzy time period using variational principle is formulated and Solved. The unit production cost is a function of production rate and also dependent on raw material cost, development cost due to durability and wear-tear cost. The holding cost is assumed to be non-linear, dependent on time. The profit function which consists of revenue, production cost and holding cost is formulated as a Fuzzy-Final Time and Fixed State System optimal control problem with fuzzy time period. Here production rate is unknown and considered as a control variable and stock level is taken as a state variable. It is formulated to optimize the production rate so that total profit is maximum. The non-linear optimization technique-Generalised Reduced Gradient Method (LINGO 11.0) is used. The optimum results are illustrated both numerically and *** Codes 49XX Copyright © 2023, The Authors. All rights reserved.

关键词： Profitability

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Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind

arXiv

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arXiv 2021年

作者： Tynda, Aleksandr Noeiaghdam, Samad Sidorov, Denis Higher and Applied Mathematics Department Penza State University Penza440026 Russia Industrial Mathematics Laboratory Baikal School of BRICS Irkutsk National Research Technical University Irkutsk664074 Russia Department of Applied Mathematics and Programming South Ural State University Lenin prospect 76 Chelyabinsk454080 Russia Energy Systems Institute Siberian Branch of Russian Academy of Science Irkutsk664033 Russia Institute of Mathematics and Information Technologies Irkutsk State University Irkutsk664025 Russia

The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrature formula is used to approximate integrals during the discretization of the proposed projection method. The estimate of accuracy of approximate solution is obtained. Stochastic arithmetics is also used based on the Contrôle et Estimation Stochastique des Arrondis de Calculs (CESTAC) method and the Control of Accuracy and Debugging for Numerical Applications (CADNA) library. Applying this approach it is possible to find optimal parameters of the projective method. The numerical examples are included to illustrate the efficiency of proposed novel collocation *** Codes 45H05, 65R20 © 2021, CC BY.

关键词： Integral equations

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