Mathematics in applied sciences and engineering最新文献_第4页

HOW DOES THE LATENCY PERIOD IMPACT THE MODELING OF COVID-19 TRANSMISSION DYNAMICS? 潜伏期如何影响COVID-19传播动力学建模?

Mathematics in applied sciences and engineering Pub Date : 2022-03-30 Epub Date: 2022-02-20 DOI: 10.5206/mase/14537

Ben Patterson, Jin Wang

引用次数: 3

Dynamics of discrete predator- prey system with fear effect and density dependent birth rate of the prey species 具有恐惧效应的离散捕食-食饵系统动力学和密度依赖的食饵物种出生率

Mathematics in applied sciences and engineering Pub Date : 2022-02-06 DOI: 10.5206/mase/14496

D. Mukherjee

引用次数: 0

Dynamics of a stoichiometric producer-grazer model with maturation delay 具有成熟延迟的化学计量生产者-食草动物模型的动力学

Mathematics in applied sciences and engineering Pub Date : 2022-02-06 DOI: 10.5206/mase/14332

Hua Zhang, Hao Wang, Ben Niu

{"title":"Dynamics of a stoichiometric producer-grazer model with maturation delay","authors":"Hua Zhang, Hao Wang, Ben Niu","doi":"10.5206/mase/14332","DOIUrl":"https://doi.org/10.5206/mase/14332","url":null,"abstract":"Ecological stoichiometry provides a multi-scale approach to study macroscopic phenomena via microscopic lens. A stoichiometric producer-grazer model with maturation delay is proposed and studied in this paper. The interaction between stoichiometry and delay is novel and leads to more interesting insights beyond classical delay-driven periodic solutions. For example, the period doubling route to chaos can occur as the minimal phosphorous:carbon ratio in producer decreases. Mathematically, we establish the conditions for the existence and stability of positive equilibria, and study the occurrence of Hopf bifurcation at positive equilibria. Analytic results show that delay can change the number and stability of positive equilibria through transcritical bifurcation, saddle-node bifurcation and Hopf bifurcation, and it further determines the grazer's extinction. Our model with a small delay behaves like LKE model in terms of light intensity, and Rosenzweig's paradox of enrichment exists in a suitable light intensity. We plot bifurcation diagrams and show rich dynamics driven by delay, light intensity, phosphorous availability, and conversion efficiency, including that a large delay can drive the grazer to go extinct in an intermediate light intensity that is favorable for the survival of the grazer when there is no delay; a limit cycle can appear, then disappear as the delay increases; given the same initial condition, solutions with different delay values can tend to different attractors.","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42067231","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

Application of ant colony optimization metaheuristic on set covering problems 蚁群优化元启发式算法在集覆盖问题中的应用

Mathematics in applied sciences and engineering Pub Date : 2022-01-20 DOI: 10.5206/mase/14018

C. A. Buhat, Jerson Ken Villamin, G. Cuaresma

引用次数: 0

On approximating initial data in some linear evolutionary equations involving fraction Laplacian 关于部分拉普拉斯算子线性演化方程中初始数据的逼近

Mathematics in applied sciences and engineering Pub Date : 2022-01-19 DOI: 10.5206/mase/13511

R. Karki

引用次数: 0

Long-time behavior of a nonlocal dispersal logistic model with seasonal succession 具有季节演替的非局部扩散logistic模型的长时间行为

Mathematics in applied sciences and engineering Pub Date : 2021-11-29 DOI: 10.5206/mase/15415

Zhenzhen Li, B. Dai

引用次数: 0

A diffusive SEIR model for community transmission of Covid-19 epidemics: application to Brazil Covid-19流行病社区传播的弥漫性SEIR模型:在巴西的应用

Mathematics in applied sciences and engineering Pub Date : 2021-11-18 DOI: 10.5206/mase/14150

W. Fitzgibbon, J. Morgan, Geoffrey I. Webb, Yixiang Wu

引用次数: 1

Prevailing winds and spruce budworm outbreaks: a reaction-diffusion-advection model 盛行风与云杉芽虫爆发:一个反应-扩散-平流模型

Mathematics in applied sciences and engineering Pub Date : 2021-11-03 DOI: 10.5206/mase/14112

Abby Anderson, O. Vasilyeva

引用次数: 0

Modeling SARS-CoV-2 spread with dynamic isolation 动态隔离下SARS-CoV-2传播建模

Mathematics in applied sciences and engineering Pub Date : 2021-10-10 DOI: 10.5206/mase/13886

Md. Azmir Ibne Islam, Sharmin Sultana Shanta, Ashrafur Rahman

{"title":"Modeling SARS-CoV-2 spread with dynamic isolation","authors":"Md. Azmir Ibne Islam, Sharmin Sultana Shanta, Ashrafur Rahman","doi":"10.5206/mase/13886","DOIUrl":"https://doi.org/10.5206/mase/13886","url":null,"abstract":"Background: The SARS-CoV-2 pandemic is spreading with a greater intensity across the globe. The synchrony of public health interventions and epidemic waves signify the importance of evaluation of the underline interventions. \u0000Method: We developed a mathematical model to present the transmission dynamics of SARS-CoV-2 and to analyze the impact of key nonpharmaceutical interventions such as isolation and screening program on the disease outcomes to the people of New Jersey, USA. We introduced a dynamic isolation of susceptible population with a constant (imposed) and infection oriented interventions. Epidemiological and demographic data are used to estimate the model parameters. The baseline case was explored further to showcase several critical and predictive scenarios.\u0000Results and analysis: The model simulations are in good agreement with the infection data for the period of 5 March 2020 to 31 January 2021. Dynamic isolation and screening program are found to be potential measures that can alter the course of epidemic. A 7% increase in isolation rate may result in a 31% reduction of epidemic peak whereas a 3 times increase in screening rate may reduce the epidemic peak by 35%. The model predicts that nearly 9.7% to 12% of the total population of New Jersey may become infected within the middle of July 2021 along with 24.6 to 27.3 thousand cumulative deaths. Within a wide spectrum of probable scenarios, there is a possibility of third wave \u0000Conclusion: Our findings could be informative to the public health community to contain the pandemic in the case of economy reopening under a limited or no vaccine coverage. Additional epidemic waves can be avoided by appropriate screening and isolation plans. ","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43907866","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

Cluster solutions in networks of weakly coupled oscillators on a 2D square torus 二维方形环面上弱耦合振子网络的簇解

Mathematics in applied sciences and engineering Pub Date : 2021-09-19 DOI: 10.5206/mase/14147

J. Culp

{"title":"Cluster solutions in networks of weakly coupled oscillators on a 2D square torus","authors":"J. Culp","doi":"10.5206/mase/14147","DOIUrl":"https://doi.org/10.5206/mase/14147","url":null,"abstract":"\u0000 \u0000 \u0000We consider a model for an N × N lattice network of weakly coupled neural oscilla- tors with periodic boundary conditions (2D square torus), where the coupling between neurons is assumed to be within a von Neumann neighborhood of size r, denoted as von Neumann r-neighborhood. Using the phase model reduction technique, we study the existence of cluster solutions with constant phase differences (Ψh, Ψv) between adjacent oscillators along the horizontal and vertical directions in our network, where Ψh and Ψv are not necessarily to be identical. Applying the Kronecker production representation and the circulant matrix theory, we develop a novel approach to analyze the stability of cluster solutions with constant phase difference (i.e., Ψh,Ψv are equal). We begin our analysis by deriving the precise conditions for stability of such cluster solutions with von Neumann 1-neighborhood and 2 neighborhood couplings, and then we generalize our result to von Neumann r-neighborhood coupling for arbitrary neighborhood size r ≥ 1. This developed approach for the stability analysis indeed can be extended to an arbitrary coupling in our network. Finally, numerical simulations are used to validate the above analytical results for various values of N and r by considering an inhibitory network of Morris-Lecar neurons. \u0000 \u0000 \u0000","PeriodicalId":93797,"journal":{"name":"Mathematics in applied sciences and engineering","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42125971","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