Journal of Biological Systems最新文献_第9页

DYNAMIC INTERACTIONS BETWEEN PREY AND PREDATOR WITH COOPERATION AND ALLEE EFFECT: DETERMINISTIC AND STOCHASTIC APPROACH 具有合作和狭缝效应的捕食者与猎物之间的动态相互作用:确定性和随机方法

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-10-26 DOI: 10.1142/s0218339022500292

Biswajit Paul, Bapin Mondal, J. Ghosh, U. Ghosh

引用次数: 3

AN AGE-STRUCTURED MODEL FOR PERTUSSIS TRANSMISSION WITH MULTIPLE INFECTIONS STUDYING THE EFFECTS OF CHILDHOOD DTAP AND ADOLESCENT TDAP VACCINES 百日咳多重感染传播的年龄结构模型儿童DTAP和青少年TDAP疫苗效果的研究

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-10-21 DOI: 10.1142/s0218339022500280

Qing Han

引用次数: 1

OPTIMAL CONTROL ANALYSIS OF A TUBERCULOSIS MODEL 结核模型的最优控制分析

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-10-21 DOI: 10.1142/s0218339022500309

L. L. Obsu

引用次数: 2

DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH PERIODIC INFECTION RATE ON A SCALE-FREE NETWORK 无标度网络上具有周期感染率的SIRS流行病模型的动力学

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-08-31 DOI: 10.1142/s0218339022500243

Hongquan Sun, Hong Li, Zhangsheng Zhu

{"title":"DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH PERIODIC INFECTION RATE ON A SCALE-FREE NETWORK","authors":"Hongquan Sun, Hong Li, Zhangsheng Zhu","doi":"10.1142/s0218339022500243","DOIUrl":"https://doi.org/10.1142/s0218339022500243","url":null,"abstract":"Influenced by seasonal changes, the infection rate of many infectious diseases fluctuates in cycles. In this paper, we propose and investigate an SIRS model on a scale-free network. To model seasonality, we assume that the infection rate is periodic. The existence and positivity of solutions of the proposed model are proved and the basic reproduction number [Formula: see text] is defined. The global stability of steady states is determined by rigorous mathematical analysis. When [Formula: see text], the disease-free equilibrium [Formula: see text] is globally asymptotically stable. When [Formula: see text], the system has a unique positive periodic solution [Formula: see text], and [Formula: see text] is globally asymptotically stable. Numerical simulations are performed to support our theoretic results, and the effects of various parameters on the amplitude and mean of infected individuals are studied. The sensitivity of parameters of the basic reproduction number [Formula: see text] is solved by the Sobol global sensitivity analysis method, and the results show that the effects of the parameters [Formula: see text] and [Formula: see text] on [Formula: see text] are remarkable.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46647134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

STABILITY ANALYSIS AND OPTIMAL CONTROL OF A LYME DISEASE MODEL WITH INSECTICIDES SPRAYING AND VACCINATION 一种莱姆病模型的稳定性分析及最优控制

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-08-31 DOI: 10.1142/s021833902250022x

Bei Sun, K. Okosun, Xue Zhang

引用次数: 0

EFFECTS OF VACCINATION ON THE TRANSMISSION DYNAMICS OF COVID-19 IN DOUGHERTY COUNTY OF GEORGIA, USA 疫苗接种对美国乔治亚州多尔蒂县COVID-19传播动态的影响

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-08-13 DOI: 10.1142/s021833902250019x

Buddhi Pantha, Jemal Mohammed-Awel, N. Vaidya

{"title":"EFFECTS OF VACCINATION ON THE TRANSMISSION DYNAMICS OF COVID-19 IN DOUGHERTY COUNTY OF GEORGIA, USA","authors":"Buddhi Pantha, Jemal Mohammed-Awel, N. Vaidya","doi":"10.1142/s021833902250019x","DOIUrl":"https://doi.org/10.1142/s021833902250019x","url":null,"abstract":"Despite the significant progress in the development of vaccines, the COVID-19 pandemic still poses difficulty for its control because of many obstacles such as the proper implementation of vaccination, public hesitancy towards vaccines, dropping out from the second dose, and varying level of protection after the first and the second doses. In this study, we develop a novel mathematical model of COVID-19 transmission, including two separate vaccinated compartments (first dose and both doses). We parametrize and validate our model using data from Dougherty county of Georgia, USA, one of the most affected counties, where the transmission trend clearly is associated with various policies and public events. We analyze our model for stability of equilibria and persistence of the disease, and formulate expression for reproduction numbers. We estimate that the basic reproduction number in Dougherty county is 1.69, and the effective reproduction number during the study period ranges from 0.26 to 6.36. The number of daily undiagnosed cases peaked at 310 per day, resulting in the maximum number of active infectious individuals to be 2471. Our model predicts that in a high transmission scenario, the vaccination strategies should be combined with other non-pharmaceutical prevention strategies to ensure transmission control. Moreover, our results emphasize that completing both doses of vaccines on time is critical to achieve maximum benefits from the vaccination programs.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43176669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

MODEL FOR TRANSMISSION AND OPTIMAL CONTROL OF ANTHRAX INVOLVING HUMAN AND ANIMAL POPULATION 人畜炭疽病的传播与最优控制模型

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-07-30 DOI: 10.1142/s0218339022500218

A. Zewdie, S. Gakkhar, Shivmurti K Gupta

{"title":"MODEL FOR TRANSMISSION AND OPTIMAL CONTROL OF ANTHRAX INVOLVING HUMAN AND ANIMAL POPULATION","authors":"A. Zewdie, S. Gakkhar, Shivmurti K Gupta","doi":"10.1142/s0218339022500218","DOIUrl":"https://doi.org/10.1142/s0218339022500218","url":null,"abstract":"Anthrax is a disease caused by Bacillus anthracis, commonly affects animals as well as humans health. In this paper, a nonlinear deterministic anthrax model involving human and animal is proposed and analyzed. The reproduction number [Formula: see text] and equilibrium points are explored to study the dynamic behavior of the disease. The existence and stability of equilibrium points are discussed. For [Formula: see text], the disease-free equilibrium [Formula: see text] is globally stable. However, it is unstable when [Formula: see text] and a locally stable endemic equilibrium point [Formula: see text] exists. The model is then extended to optimal control model considering human vaccination, animal vaccination and proper removal of carcass. The vaccination class of human and animal population appears separately in a model. The existence and characterization of optimal control are discussed. The numerical simulations are carried out for the choice of parametric values and initial conditions. These illustrate scavengers in the suspected area which eat infected dead body of animals contributing to the effort of reducing the expansion of disease. In addition, numerical comparison analysis with four distinct control strategies is carried out. Our findings show that each control technique has its own influence on reducing the total number of infections in the human and animal populations. The cumulative impact of all control measures is found to be extremely effective in lowering the prevalence of the disease.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49458492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

DYNAMICS OF A MATHEMATICAL MODEL FOR INTERACTION PLANT–PARASITE–TRICHODERMA 植物-寄生虫-木霉相互作用的数学模型动力学

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-06-25 DOI: 10.1142/s0218339022500206

M. F. Jiménez, G. Blé, M. Falconi

引用次数: 0

MODELING THE ROLE OF VACCINATION, ENVIRONMENTAL SANITATION, AND SATURATED TREATMENT ON THE SPREAD OF TYPHOID FEVER 模拟疫苗接种、环境卫生和饱和处理对伤寒传播的作用

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-05-12 DOI: 10.1142/s0218339022500164

Tsegaye Kebede Irena, S. Gakkhar

{"title":"MODELING THE ROLE OF VACCINATION, ENVIRONMENTAL SANITATION, AND SATURATED TREATMENT ON THE SPREAD OF TYPHOID FEVER","authors":"Tsegaye Kebede Irena, S. Gakkhar","doi":"10.1142/s0218339022500164","DOIUrl":"https://doi.org/10.1142/s0218339022500164","url":null,"abstract":"A deterministic nonlinear mathematical model is developed for typhoid transmission dynamics in human hosts, coupled with multiple transmission routes. The model aims to examine the role of control interventions such as vaccination, environmental sanitation, and saturated treatment on the prevalence of typhoid. First, the qualitative analysis of the model with constant control interventions is performed. The model exhibits a backward bifurcation phenomenon. Sensitivity analysis is also conducted to identify impactful parameters for effective control of the disease. Then, the model is extended to a corresponding optimal control problem to investigate the optimum intervention strategies by assessing their effects on typhoid prevalence and economic load. The characterization of the optimal controls is determined using Pontryagin’s Maximum Principle, and the optimality system is developed. Numerical results suggest that, in the absence of treatment, the combination of vaccination and environmental sanitation controls plays an important role in reducing the typhoid burden and economic load. Moreover, the comprehensive use of the three control interventions is more effective than using any single or two combined control interventions. It reduces the number of infective humans and environmental bacteria as well as the cost burden associated with applied controls and opportunity loss. Thus, the comprehensive effect of the three control interventions is found to be more economical during typhoid outbreaks.","PeriodicalId":54872,"journal":{"name":"Journal of Biological Systems","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46510750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

MATHEMATICAL INSIGHTS INTO THE DYNAMICS OF INNATE IMMUNE RESPONSE DURING INFLAMMATION 对炎症期间先天免疫反应动力学的数学见解

IF 1.6 4区数学

Journal of Biological Systems Pub Date : 2022-05-12 DOI: 10.1142/s0218339022500139

I. Trejo, Mehtap Lafci Büyükkahraman, H. Kojouharov

引用次数: 0