{"title":"Permanence and extinction in a periodic ratio-dependent population system with stage structure","authors":"Ahmadjan Muhammadhaji","doi":"10.22436/mns.05.01.03","DOIUrl":"https://doi.org/10.22436/mns.05.01.03","url":null,"abstract":"This paper studies a class of nonautonomous two-species ratio-dependent population system with stage structure. Some sufficient conditions on the boundedness, permanence, extinction, and periodic solution of the system are established by using the comparison method.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122916173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comparaison between the method which is used the spatial contextual information and some methods of image classification","authors":"Houda Hassouna","doi":"10.22436/mns.05.01.02","DOIUrl":"https://doi.org/10.22436/mns.05.01.02","url":null,"abstract":"In this paper, we present the results obtained for the remote sensing image classification by using three methods of classification namely, Gaussian process classification method (GPC), morphological profile for classification method (MPC) and spatial contextual Gaussian process classification method (SGPC). Several classification approaches have shown that the exploitation of spatial contextual information can be attractive to increase the classification accuracy by introducing a new automated learning approach based on Gaussian process theory.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115220679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic behaviors of a single species stage structure system with feedback control","authors":"Liyun Lai, Xiangqin Yu, Fengde Chen","doi":"10.22436/MNS.05.01.01","DOIUrl":"https://doi.org/10.22436/MNS.05.01.01","url":null,"abstract":"A single species stage structure system with feedback control is proposed and studied in this paper. Local and global stability property of the boundary equilibrium and the positive equilibrium are investigated, respectively. If the original system is globally stable, then we show that the feedback control only change the position of the unique positive equilibrium and retain the stable property. If the original system is extinct, then we show that the system with feedback control is also extinct. Some examples are presented to verify our main results.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115390026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bernoulli polynomial and the numerical solution of high-order boundary value problems","authors":"M. El-Gamel, W. Adel, M. El-Azab","doi":"10.22436/MNS.04.01.05","DOIUrl":"https://doi.org/10.22436/MNS.04.01.05","url":null,"abstract":"In this work we present a fast and accurate numerical approach for the higher-order boundary value problems via Bernoulli collocation method. Properties of Bernoulli polynomial along with their operational matrices are presented which is used to reduce the problems to systems of either linear or nonlinear algebraic equations. Error analysis is included. Numerical examples illustrate the pertinent characteristic of the method and its applications to a wide variety of model problems. The results are compared to other methods.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114164426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A study on self-similar surfaces","authors":"Mustafa Altın, M. Karadag, H. Karadağ","doi":"10.22436/MNS.04.01.04","DOIUrl":"https://doi.org/10.22436/MNS.04.01.04","url":null,"abstract":"In this paper, we study the self-similar surfaces in 4-dimensional Euclidean space E4. We give an if and only if condition for a generalized rotational surfaces in E4 to be self-similar. In addition we examine self-similarity of some special surfaces in E4. Furthermore we investigate the self-similar condition of Tensor Product surfaces and Meridian surfaces in E4.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"705 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113982198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Daftar-Gejii-Jafaris method for linear and nonlinear third order fractional differential equation","authors":"Mahmut Modanlı","doi":"10.22436/MNS.04.01.03","DOIUrl":"https://doi.org/10.22436/MNS.04.01.03","url":null,"abstract":"Numerical solution of the third order fractional differential equation is obtained by using DGJ (Daftardar-GejiiJafaris) method. Providing DGJ method converges, it is shown that obtained approximate solution is effective which is close to the exact solution or the exact solution. An example explained this method is presented. The proposed method is implemented for the approximation solution of the third order nonlinear fractional partial differential equations. An example which shows the method is unsuitable and inconsistent is given.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114604944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics and stability results for impulsive type integro-differential equations with generalized fractional derivative","authors":"D. Vivek, E. Elsayed, K. Kanagarajan","doi":"10.22436/MNS.04.01.01","DOIUrl":"https://doi.org/10.22436/MNS.04.01.01","url":null,"abstract":"In this paper, we investigate the existence, uniqueness, and Ulam stability of solutions for impulsive type integro-differential equations with generalized fractional derivative. The arguments are based upon the Banach contraction principle and Schaefer’s fixed point theorem.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121061227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Homotopy analysis method for solving MHD free convection flow from a cooling sheet","authors":"Z. Hammouch, T. Mekkaoui, H. Sadki","doi":"10.22436/MNS.03.01.05","DOIUrl":"https://doi.org/10.22436/MNS.03.01.05","url":null,"abstract":"","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115104721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Ulam's types stability of non-linear Volterra integro-delay dynamic system with simple non-instantaneous impulses on time scales","authors":"Syed Omar Shah, A. Zada, C. Tunç","doi":"10.22436/MNS.04.01.02","DOIUrl":"https://doi.org/10.22436/MNS.04.01.02","url":null,"abstract":"","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121421301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Damping influence on the critical velocity and response characteristics of structurally pre-stressed beam subjected to traveling harmonic load","authors":"B. Omolofe, T. Awodola, T. O. Adeloye","doi":"10.22436/MNS.03.01.03","DOIUrl":"https://doi.org/10.22436/MNS.03.01.03","url":null,"abstract":"In this present study, the response characteristics of a flexible member carrying harmonic moving load are investigated. The beam is assumed to be of uniform cross section and has simple support at both ends. The moving concentrated force is assumed to move with constant velocity type of motion. A versatile mathematical approximation technique often used in structural mechanics called assumed mode method is in first instance used to treat the fourth order partial differential equation governing the motion of the slender member to obtain a sequence of second order ordinary differential equations. Integral transform method is further used to treat this sequence of differential equations describing the motion of the beam-load system. Various results in plotted curves show that, the presence of the vital structural parameters such as the axial force N, rotatory inertia correction factor r0, the foundation modulus F0, and the shear modulus G0 significantly enhances the stability of the beam when under the action of moving load. Dynamic effects of these parameters on the critical speed of the dynamical system are carefully studied. It is found that as the values of these parameters increase, the critical speed also increase. Thereby reducing the risk of resonance and thus the safety of the occupant of this structural member is guaranteed.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"221 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115622291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}