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Mathematics in applied sciences and engineering最新文献

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Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect 具有恐惧和Allee效应的捕食模型中扩散驱动的不稳定性和模式形成
Mathematics in applied sciences and engineering Pub Date : 2023-04-02 DOI: 10.5206/mase/15231
Debjit Pal, D. Kesh, D. Mukherjee
{"title":"Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect","authors":"Debjit Pal, D. Kesh, D. Mukherjee","doi":"10.5206/mase/15231","DOIUrl":"https://doi.org/10.5206/mase/15231","url":null,"abstract":"This paper analyses a predator-prey model with Holling type II response function incorporating Allee and fear effect in the prey. The model includes intra species competition among predators. We find out the local dynamics as well as Hopf bifurcation by considering level of fear as bifurcation parameter. The condition for diffusion-driven instability and patterns are then demonstrated in relation to the system's ecological parameters and diffusion coefficients. Intra-specific competition affects the dynamics of the system and Turing pattern formation. Moreover, output of results is verified through numerical simulation. Thus, from a dynamical standpoint, the considered model seems to be relevant in the field of ecology.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42497366","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
Energy criteria of global existence for a class of Hartree equations with Coulomb potential 一类具有库仑势的Hartree方程全局存在的能量准则
Mathematics in applied sciences and engineering Pub Date : 2023-03-30 DOI: 10.5206/mase/15536
Na Tang, Jian Zhang
{"title":"Energy criteria of global existence for a class of Hartree equations with Coulomb potential","authors":"Na Tang, Jian Zhang","doi":"10.5206/mase/15536","DOIUrl":"https://doi.org/10.5206/mase/15536","url":null,"abstract":"This paper studies a class of Hartree equations with Coulomb potential. Combined with the conservation of mass and energy, we analyze the variational characteristics of the corresponding nonlinear elliptic equation. According to the range of parameters, we construct the evolution invariant flows of the equation in different cases. Then the sharp energy thresholds for global existence and blow-up of solutions are discussed in detail.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44941569","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
Minimum Dominating Set for the Prism Graph Family 棱镜图族的最小支配集
Mathematics in applied sciences and engineering Pub Date : 2023-03-22 DOI: 10.5206/mase/15775
Veninstine Vivik J
{"title":"Minimum Dominating Set for the Prism Graph Family","authors":"Veninstine Vivik J","doi":"10.5206/mase/15775","DOIUrl":"https://doi.org/10.5206/mase/15775","url":null,"abstract":"The dominating set of the graph G is a subset D of vertex set V, such that every vertex not in V-D is adjacent to at least one vertex in the vertex subset D. A dominating set D is a minimal dominating set if no proper subset of D is a dominating set. The number of elements in such set is called as domination number of graph and is denoted by $gamma(G)$. In this work the domination numbers are obtained for family of prism graphs such as prism CL_n, antiprism Q_n and crossed prism R_n by identifying one of their minimum dominating set.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43035769","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
Chaotic dynamics of the fractional order Schnakenberg model and its control 分数阶Schnakenberg模型的混沌动力学及其控制
Mathematics in applied sciences and engineering Pub Date : 2023-03-22 DOI: 10.5206/mase/15355
Md. Jasim Uddin, S. M. Sohel Rana
{"title":"Chaotic dynamics of the fractional order Schnakenberg model and its control","authors":"Md. Jasim Uddin, S. M. Sohel Rana","doi":"10.5206/mase/15355","DOIUrl":"https://doi.org/10.5206/mase/15355","url":null,"abstract":"The Schnakenberg model is thought to be the Caputo fractional derivative. In order to create caputo fractional differential equations for the Schnakenberg model, a discretization process is first used. The fixed points in the model are categorized topologically. Then, we show analytically that, under certain parametric conditions, a Neimark-Sacker (NS) bifurcation and a Flip-bifurcation are supported by a fractional order Schnakenberg model. Using central manifold and bifurcation theory, we demonstrate the presence and direction of NS and Flip bifurcations. The parameter values and the initial conditions have been found to have a profound impact on the dynamical behavior of the fractional order Schnakenberg model. Numerical simulations are shown to demonstrate chaotic behaviors like bifurcations, phase portraits, period 2, 4, 7, 8, 10, 16, 20 and 40 orbits, invariant closed cycles, and attractive chaotic sets in addition to validating analytical conclusions.  In order to support the system’s chaotic characteristics, we also compute the maximal Lyapunov exponents and fractal dimensions quantitatively. Finally, the chaotic trajectory of the system is stopped using the OGY approach, hybrid control method, and state feedback method.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44826688","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
On a new generalized Tsallis relative operator entropy 关于一个新的广义Tsallis相对算子熵
Mathematics in applied sciences and engineering Pub Date : 2023-02-20 DOI: 10.5206/mase/15397
Lahcen Tarik, Mohamed Chergui, Bouazza El Wahbi
{"title":"On a new generalized Tsallis relative operator entropy","authors":"Lahcen Tarik, Mohamed Chergui, Bouazza El Wahbi","doi":"10.5206/mase/15397","DOIUrl":"https://doi.org/10.5206/mase/15397","url":null,"abstract":"In this paper, we present a generalization of Tsallis relative operator entropy defined for positive operators and we investigate some related properties. Some inequalities involving the generalized Tsallis relative operator entropy are pointed out as well.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42112015","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 novel IVGTT model including interstitial insulin 包括间质胰岛素在内的新型IVGTT模型
Mathematics in applied sciences and engineering Pub Date : 2023-02-20 DOI: 10.5206/mase/15505
Jiaxu Li, Jin Jun, Xu Rui, Yu Lei, Jin Zhen
{"title":"A novel IVGTT model including interstitial insulin","authors":"Jiaxu Li, Jin Jun, Xu Rui, Yu Lei, Jin Zhen","doi":"10.5206/mase/15505","DOIUrl":"https://doi.org/10.5206/mase/15505","url":null,"abstract":"Minimal Model (MM) is the top-scoring model for assessing physiological characteristics to diagnose the potential or onset of type 2 diabetes mellitus (T2DM) through the intravenous glucose tolerance test (IVGTT) for the past four decades. Nevertheless it has been arguable that MM method either overestimates glucose effectiveness (GE) or underestimates insulin sensitivity (IS) in some cases by both biologists through in vivo experiments and mathematicians by analysis and/or simulations. We propose a novel model including the interstitial insulin according to physiology and adapted from the well accepted Sturis’ model for the glucose-insulin metabolic system suitable to the IVGTT setting. Our model consistently overcomes the aforementioned defects in a subgroup of subjects. In addition, the variable X for insulin action in MM might be appropriately interpreted as an increment of insulin in the interstitial space in response to the bolus stimulus, rather than being proportional to the interstitial insulin as believed.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44030705","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
Fisher information approach to understand the Gompertz model 理解Gompertz模型的Fisher信息方法
Mathematics in applied sciences and engineering Pub Date : 2022-12-26 DOI: 10.5206/mase/15447
A. Al-Saffar, Eun-jin Kim
{"title":"Fisher information approach to understand the Gompertz model","authors":"A. Al-Saffar, Eun-jin Kim","doi":"10.5206/mase/15447","DOIUrl":"https://doi.org/10.5206/mase/15447","url":null,"abstract":"As a measure of sustainability, Fisher information is employed in the Gompertz growth model. The effect of different oscillatory modulations is examined on the system's evolution and Probability Density Function (PDF). For a sufficiently large frequency of periodic fluctuations occurring in both positive and negative feedbacks, the system maintains its initial conditions. A similar PDF is shown regardless of the initial values when there are periodic fluctuations in positive feedback. By periodic fluctuations in negative feedback, the Gompertz model can lose its self-organization. Finally, despite the fact that the Gompertz and logistic systems evolve differently over time, the results show that they are exceptionally similar in terms of information and sustainability.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49402682","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
A study on the mild solution of special random impulsive fractional differential equations 一类特殊随机脉冲分数阶微分方程温和解的研究
Mathematics in applied sciences and engineering Pub Date : 2022-12-14 DOI: 10.5206/mase/14985
Sayooj Aby Jose, Varun Bose C S, Bijesh P Biju, Abin Thomas Nirappathu house
{"title":"A study on the mild solution of special random impulsive fractional differential equations","authors":"Sayooj Aby Jose, Varun Bose C S, Bijesh P Biju, Abin Thomas Nirappathu house","doi":"10.5206/mase/14985","DOIUrl":"https://doi.org/10.5206/mase/14985","url":null,"abstract":"In this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to illustrate the effectiveness of the theoretical results.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43678073","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
Combination therapy for cancer with IL-27 and anti-PD-1: A simplified mathematical model IL-27和抗pd -1联合治疗癌症:一个简化的数学模型
Mathematics in applied sciences and engineering Pub Date : 2022-12-09 DOI: 10.5206/mase/15100
Kenton D. Watt, Kang-Ling Liao
{"title":"Combination therapy for cancer with IL-27 and anti-PD-1: A simplified mathematical model","authors":"Kenton D. Watt, Kang-Ling Liao","doi":"10.5206/mase/15100","DOIUrl":"https://doi.org/10.5206/mase/15100","url":null,"abstract":"Many experiential and clinical trials in cancer treatment show that a combination of immune checkpoint inhibitor with another agent can improve the tumor reduction. Anti Programmed death 1 (Anti-PD-1) is one of these immune checkpoint inhibitors that re-activate immune cells to inhibit tumor growth.  In this work, we consider a combination treatment of anti-PD-1 and Interleukin-27 (IL-27). IL-27 has anti-cancer functions to promote the development of Th1 and CD8$^+$ T cells, but it also upregulates the expression of PD-1 and Programmed death ligand 1 (PD-L1) to inactivate these T cells. Thus, the functions of IL-27 in tumor growth is controversial. Hence, we create a simplified mathematical model to investigate whether IL-27 is pro-cancer or anti-cancer in the combination with anti-PD-1 and to what degree anti-PD-1 improves the efficacy of IL-27. Our synergy analysis for the combination treatment of IL-27 and anti-PD-1 shows that (i) ant-PD-1 can efficiently improve the treatment efficacy of IL-27; and (ii) there exists a monotone increasing function $F_c(G)$ depending on the treatment efficacy of anti-PD-1 $G$ such that IL-27 is an efficient anti-cancer agent when its dose is smaller than $F_c(G)$, whereas IL-27 is a pro-cancer agent when its dose is higher than $F_c(G)$. Our analysis also provides the existence and the local stability of the trivial, non-negative, and positive equilibria of the model. Combining with simulation, we discuss the effect of the IL-27 dosage on the equilibria and find that the T cells and IFN-$gamma$ could vanish and tumor cells preserve, when the production rate of T cells by IL-27 is low or the dosage of IL-27 is low.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48709606","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 existence and uniqueness of solutions of a nonlinear toxin-dependent size-structured population model 一类非线性毒素依赖大小结构种群模型解的存在唯一性
Mathematics in applied sciences and engineering Pub Date : 2022-09-30 DOI: 10.5206/mase/15074
Y. Li, Qihua Huang
{"title":"The existence and uniqueness of solutions of a nonlinear toxin-dependent size-structured population model","authors":"Y. Li, Qihua Huang","doi":"10.5206/mase/15074","DOIUrl":"https://doi.org/10.5206/mase/15074","url":null,"abstract":"In this paper, we study a toxin-mediated size-structured population model with nonlinear reproduction, growth, and mortality rates. By using the characteristic method and the contraction mapping argument, we establish the existence-uniqueness of solutions to the model. We also prove the continuous dependence of solutions on initial conditions.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47179530","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
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