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Modelling the impact of mass administration of ivermectin in the treatment of onchocerciasis (river blindness) 伊维菌素大规模给药治疗盘尾丝虫病（河盲症）的影响建模
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1429700
E. Omondi, F. Nyabadza, R. Smith
{"title":"Modelling the impact of mass administration of ivermectin in the treatment of onchocerciasis (river blindness)","authors":"E. Omondi, F. Nyabadza, R. Smith","doi":"10.1080/23311835.2018.1429700","DOIUrl":"https://doi.org/10.1080/23311835.2018.1429700","url":null,"abstract":"Onchocerciasis (river blindness) is a disease spread from black flies to humans. This disease is responsible for chronic morbidity in sub-Saharan Africa. The principal strategy to achieve onchocerciasis elimination is through mass drug administration with ivermectin, a drug that is effective in the short term but wanes quickly. Ivermectin kills the skin-dwelling microfilariae. It may also kill and/or sterilize adult worms. This treatment protocol occurs bi-annually. Consequently, a system of impulsive differential equations is introduced to model both fixed and non-fixed mass drug administration with ivermectin. We determine the threshold for the proportion of treated individuals that reduces the infection in the human population. In the absence of impulsive mass drug administration with ivermectin, we determine the threshold for eradication and carry out stability analysis. The sensitivity analysis results reveal that the disease is unlikely to be eradicated without extremely low transmission levels or strong vector control. If treatment is included, then treatment at fixed intervals can control but not eradicate the disease. Treatment at non-fixed intervals may produce bursts of infection. Thus, bi-annual mass drug administration with ivermectin that is tailored to eradicate onchocerciasis, can only lead to significant reduction of onchocerciasis. However, to achieve 2020/2025 onchocerciasis elimination goals set by World Health Organization, the human-vector contact should be sufficiently reduced and vector control programmes implemented to supplement an intensive and effective mass drug administration with ivermectin.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23311835.2018.1429700","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44960025","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}
引用次数: 7
The 2 x n seating derangements 2 x n座位混乱
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1492887
Monrudee Sirivoravit, U. Leerawat
{"title":"The 2 x n seating derangements","authors":"Monrudee Sirivoravit, U. Leerawat","doi":"10.1080/25742558.2018.1492887","DOIUrl":"https://doi.org/10.1080/25742558.2018.1492887","url":null,"abstract":"Abstract In this paper, we study the derangement of 2n persons sitting 2 rows and n columns. In how many ways can the persons rearrange their seating in accordance with the following condition. Each seat is located by one person and reoccupied by another person and each person moves to a horizontal or a vertical or a diagonal neighboring seat. We establish the system of recurrence relations for the solution of this problem and provide the solution of the system of recurrence relations.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1492887","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48172991","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}
引用次数: 0
Common fixed point results via implicit contractions for multi-valued mappings on b-metric like spaces 类b-度量空间上多值映射的隐式压缩得到公共不动点
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1493761
B. Mohammadi, Farhan Golkarmanesh, Vahid Parvaneh
{"title":"Common fixed point results via implicit contractions for multi-valued mappings on b-metric like spaces","authors":"B. Mohammadi, Farhan Golkarmanesh, Vahid Parvaneh","doi":"10.1080/25742558.2018.1493761","DOIUrl":"https://doi.org/10.1080/25742558.2018.1493761","url":null,"abstract":"Abstract In this paper, motivated by the recent work [Journal of Nonlinear Sciences and Applications, 10(4):1544–1537] some generalized nonlinear contractive conditions via implicit functions and α-admissible pairs of multi-valued mappings in the setting of b-metric like spaces have been introduced. Some common fixed point results for such mappings in this framework have been provided. Then, some corollaries and consequences for our obtained results are given. Our results are the multi-valued versions of [Journal of Nonlinear Sciences and Applications, 10(4):1544–1537]. An example also is provided to support our obtained results. The presented results generalize and extend some earlier results in the literature.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1493761","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48186533","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}
引用次数: 2
Term rank preservers of bisymmetric matrices over semirings 半环上双对称矩阵的项秩保留子
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1509430
L. Sassanapitax, S. Pianskool, A. Siraworakun
{"title":"Term rank preservers of bisymmetric matrices over semirings","authors":"L. Sassanapitax, S. Pianskool, A. Siraworakun","doi":"10.1080/25742558.2018.1509430","DOIUrl":"https://doi.org/10.1080/25742558.2018.1509430","url":null,"abstract":"Abstract In this article, we introduce another standard form of linear preservers. This new standard form provides characterizations of the linear transformations on the set of bisymmetric matrices with zero diagonal and zero antidiagonal over antinegative semirings without zero divisors which preserve some sort of term ranks and preserve the matrix that can be determined as the greatest one. The numbers of all possible linear transformations satisfying each condition are also obtained.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1509430","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41641299","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}
引用次数: 0
A new generalized contraction and its application in dynamic programming 一种新的广义收缩及其在动态规划中的应用
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1559456
M. Ramezani, H. Ramezani
{"title":"A new generalized contraction and its application in dynamic programming","authors":"M. Ramezani, H. Ramezani","doi":"10.1080/23311835.2018.1559456","DOIUrl":"https://doi.org/10.1080/23311835.2018.1559456","url":null,"abstract":"Abstract By using the idea of Pata [V. Pata, A fixed point theorem in metric spaces. J. Fixed Point Theory Appl. 10 (2011) 299–305.] we establish a new common fixed point theorem and as an application, we prove the existence and uniqueness of common solutions for a class of system of functional equations arising in dynamic programming.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23311835.2018.1559456","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49265346","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}
引用次数: 1
Probability density and stochastic stability for the coupled Van der Pol oscillator system 耦合Van der Pol振荡系统的概率密度和随机稳定性
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/23311835.2018.1431092
Sheng-hong Li, Quanxin Zhu
{"title":"Probability density and stochastic stability for the coupled Van der Pol oscillator system","authors":"Sheng-hong Li, Quanxin Zhu","doi":"10.1080/23311835.2018.1431092","DOIUrl":"https://doi.org/10.1080/23311835.2018.1431092","url":null,"abstract":"Abstract In this paper, the probability density and almost sure asymptotic stability of the coupled Van der Pol oscillator system under the noise excitations are investigated. Through the stochastic averaging method and slow changing process theorem, averaged Fokker–Planck–Kolmogorov equation and exact solution of the dynamical system are obtained. Especially, the marginal density functions of the system excited by the additive white noises are derived. Then, the effects of coupled parameters and noise parameters on the marginal density functions are discussed through the numerical figures. In addition, the almost sure asymptotic stability under the parametric excitation by means of the maximal Lyapunov exponent is studied, and the stable demarcation points about noise intensity are presented.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23311835.2018.1431092","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48734868","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}
引用次数: 3
On functions and inverses, both positive, decreasing and convex: And Stieltjes functions 关于正、递减和凸的函数和逆：以及Stieltjes函数
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1477543
Grant Keady, N. Khajohnsaksumeth, N. Khajohnsaksumeth, B. Wiwatanapataphee
{"title":"On functions and inverses, both positive, decreasing and convex: And Stieltjes functions","authors":"Grant Keady, N. Khajohnsaksumeth, N. Khajohnsaksumeth, B. Wiwatanapataphee","doi":"10.1080/25742558.2018.1477543","DOIUrl":"https://doi.org/10.1080/25742558.2018.1477543","url":null,"abstract":"Abstract Any function from onto which is decreasing and convex has an inverse which is positive, decreasing and convex. When has some form of generalized convexity we determine additional convexity properties inherited by . When is positive, decreasing and -convex, its inverse is -convex. Related properties which pertain when is a Stieltjes function are developed. The results are illustrated with the Stieltjes function via a transcendental equation.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1477543","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48306822","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}
引用次数: 2
Correction 修正
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1520444
{"title":"Correction","authors":"","doi":"10.1080/25742558.2018.1520444","DOIUrl":"https://doi.org/10.1080/25742558.2018.1520444","url":null,"abstract":"","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1520444","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47236631","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}
引用次数: 0
Convergence in fractional probability space and 0-1 Kolmogorov theorem 分数概率空间的收敛性和0-1 Kolmogorov定理
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1475612
A. Zendehdel, Parisa Ahmadi Ghotbi
{"title":"Convergence in fractional probability space and 0-1 Kolmogorov theorem","authors":"A. Zendehdel, Parisa Ahmadi Ghotbi","doi":"10.1080/25742558.2018.1475612","DOIUrl":"https://doi.org/10.1080/25742558.2018.1475612","url":null,"abstract":"Abstract In this study, we define the fractional random variable. The concept of convergence in fractional probability, almost surely convergence and some related theorems and examples are studied with the purpose of expanding the fractional probability theory parallel to the classical one. It is shown that almost surely convergence in the fractional probability space does not lead to the convergence in fractional probability. And, some valuable features related to fractional probability theory such as Cauchy function in fractional probability are discussed. We proved that a fractional random variable converges in fractional probability if it is Cauchy in fractional probability. Finally, the well-known 0-1 Kolmogorov theorem is proved in a fractional probability space.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1475612","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47341808","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}
引用次数: 0
The Gompertz Inverse Exponential (GoIE) distribution with applications Gompertz逆指数（GoIE）分布及其应用
Cogent mathematics & statistics Pub Date : 2018-01-01 DOI: 10.1080/25742558.2018.1507122
P. E. Oguntunde, M. A. Khaleel, A. Adejumo, H. Okagbue, A. Opanuga, F. Owolabi
{"title":"The Gompertz Inverse Exponential (GoIE) distribution with applications","authors":"P. E. Oguntunde, M. A. Khaleel, A. Adejumo, H. Okagbue, A. Opanuga, F. Owolabi","doi":"10.1080/25742558.2018.1507122","DOIUrl":"https://doi.org/10.1080/25742558.2018.1507122","url":null,"abstract":"Abstract The Gompertz inverse exponential (GoIE) distribution using the Gompertz generalized family of distributions was derived and introduced in this article. Some basic statistical properties of the model were derived and discussed in minute details. The model parameters were estimated using the maximum likelihood estimation method. Real-life applications were provided and the GoIE distribution provides better fits than the Gompertz exponential, Gompertz Weibull and Gompertz Lomax distributions.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2018.1507122","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42371235","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}
引用次数: 15
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