International Journal of Biomathematics最新文献

{"title":"Propagation dynamics of diffusive disease models with infectious stages","authors":"Xiying Yang, Guo Lin","doi":"10.1142/s1793524524500074","DOIUrl":"https://doi.org/10.1142/s1793524524500074","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139611821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling the transmission dynamics of a two-strain dengue disease with infection age","authors":"Xiaoguang Li Cai, Liming Cai, Wandi Ding","doi":"10.1142/s1793524524500049","DOIUrl":"https://doi.org/10.1142/s1793524524500049","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139612930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A time-space SIR model for disease spread across two regions: analysis and numerical simulations","authors":"O. Elamraoui, E. Essoufi, H. Rahnaoui, A. Zafrar","doi":"10.1142/s1793524524500062","DOIUrl":"https://doi.org/10.1142/s1793524524500062","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139612971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Steady-state bifurcations and patterns formation in a diffusive toxic-phytoplankton–zooplankton model","authors":"Jingen Yang, Yuanxian Hui, Zhong Zhao","doi":"10.1142/s1793524523501139","DOIUrl":"https://doi.org/10.1142/s1793524523501139","url":null,"abstract":"In this paper, we study a diffusive toxic-phytoplankton–zooplankton model with prey-taxis under Neumann boundary condition. By analyzing the characteristic equation, we discuss the local stability of the positive constant solutions and show the repulsive prey-taxis is the key factor that destabilizes the solutions. By means of the abstract bifurcation theorem, we investigate the existence of non-constant positive steady-state solutions bifurcating from the constant coexistence equilibrium. Furthermore, we obtain the criterion for the stability of the branching solutions near the bifurcation point. Numerical simulations support our theoretical results, together with some interesting phenomena, stable heterogeneous periodic solutions emerge when prey-tactic sensitivity coefficient is well below the critical value, and zooplankton populations present extinction and continued transitions as habitat size increases.","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139614460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Assessment of vaccination and underreporting on COVID-19 infections in Turkey based on effective reproduction number","authors":"Tuğba Akman, Emek Köse, Necibe Tuncer","doi":"10.1142/s1793524523501024","DOIUrl":"https://doi.org/10.1142/s1793524523501024","url":null,"abstract":"<p>In this paper, we introduce a SEIR-type COVID-19 model where the infected class is further divided into subclasses with individuals in intensive care (ICUs) and ventilation units. The model is calibrated with the symptomatic COVID-19 cases, deaths, and the number of patients in ICUs and ventilation units as reported by Republic of Turkey, Ministry of Health for the period 11 March 2020 through 30 May 2020 when the nationwide lockdown is in order. COVID-19 interventions in Turkey are incorporated into the model to detect the future trend of the outbreak accurately. We tested the effect of underreporting and we found that the peaks of the disease differ significantly depending on the rate of underreporting, however, the timing of the peaks remains constant. The lockdown is lifted on 1 June, and the model is modified to include a time-dependent transmission rate which is linked to the effective reproduction number <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"cal\">ℛ</mi></mrow><mrow><mi>t</mi></mrow></msub></math></span><span></span> through basic reproduction number <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi mathvariant=\"cal\">ℛ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span><span></span>. The modified model captures the changing dynamics and peaks of the outbreak successfully. With the onset of vaccination on 13 January 2021, we augment the model with the vaccination class to investigate the impact of vaccination rate and efficacy. We observe that vaccination rate is a more critical parameter than the vaccine efficacy to eliminate the disease successfully.</p>","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global analysis of a network-based SIR epidemic model with a saturated treatment function","authors":"Xiaodan Wei","doi":"10.1142/s1793524523501127","DOIUrl":"https://doi.org/10.1142/s1793524523501127","url":null,"abstract":"<p>In this paper, we study a network-based SIR epidemic model with a saturated treatment function in which a parameter <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi></math></span><span></span> is introduced to measure the extent of the effect of the infected being delayed for treatment. Our aim is to present a global analysis and to investigate how the parameter <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi></math></span><span></span> affects the spreading of diseases. Our main results are as follows: (1) In the case of the threshold value <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&lt;</mo><mn>1</mn></math></span><span></span>, there exist two values of <span><math altimg=\"eq-00004.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi></math></span><span></span>: <span><math altimg=\"eq-00005.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>α</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span><span></span> and <span><math altimg=\"eq-00006.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>α</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span><span></span>, such that the disease-free equilibrium is globally asymptotically stable when <span><math altimg=\"eq-00007.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi><mo>≤</mo><msub><mrow><mi>α</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span><span></span> and multiple endemic equilibria exist when <span><math altimg=\"eq-00008.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi><mo>≥</mo><msub><mrow><mi>α</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span><span></span>. This means that the parameter <span><math altimg=\"eq-00009.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi></math></span><span></span> has an essential influence on the spreading of the disease. (2) In the case of the threshold value <span><math altimg=\"eq-00010.gif\" display=\"inline\" overflow=\"scroll\"><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&gt;</mo><mn>1</mn></math></span><span></span>, if the model has only one endemic equilibrium, then the unique endemic equilibrium is globally attractive. In this case, it is also proved that if <span><math altimg=\"eq-00011.gif\" display=\"inline\" overflow=\"scroll\"><mi>α</mi><mo>≤</mo><msub><mrow><mi>α</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span><span></span>, then the endemic equilibrium has only one, so is globally attractive. In addition, numerical simulation is performed to illustrate our theoretical results.</p>","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140097348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Threshold dynamics of a nonlocal dispersal SIS epidemic model with free boundaries","authors":"Yachun Tong, Inkyung Ahn, Zhigui Lin","doi":"10.1142/s179352452350095x","DOIUrl":"https://doi.org/10.1142/s179352452350095x","url":null,"abstract":"<p>To study the influence of the moving front of the infected interval and the spatial movement of individuals on the spreading or vanishing of infectious disease, we consider a nonlocal susceptible–infected–susceptible (SIS) reaction–diffusion model with media coverage, hospital bed numbers and free boundaries. The principal eigenvalue of the integral operator is defined, and the impacts of the diffusion rate of infected individuals and interval length on the principal eigenvalue are analyzed. Furthermore, sufficient conditions for spreading and vanishing of the disease are derived. Our results show that large media coverage and hospital bed numbers are beneficial to the prevention and control of disease. The difference between the model with nonlocal diffusion and that with local diffusion is also discussed and nonlocal diffusion leads to more possibilities.</p>","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140075355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Threshold dynamics of a reaction-advection-diffusion waterborne disease model with seasonality and human behavior change","authors":"Wei Wang, Xiaotong Wang, Xiaoting Fan","doi":"10.1142/s1793524523501061","DOIUrl":"https://doi.org/10.1142/s1793524523501061","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139178239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Optimal Control of a Spatiotemporal Discrete Tuberculosis Model","authors":"Hamza Toufga, Lahbib Benahmadi, A. Sakkoum, M. Lhous","doi":"10.1142/s1793524523501103","DOIUrl":"https://doi.org/10.1142/s1793524523501103","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139178557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Some qualitative analyses on a vegetation-water model with cross-diffusion and internal competition","authors":"G. Guo, Anna Niu, Qian Cao, Lixin Yang","doi":"10.1142/s1793524523501097","DOIUrl":"https://doi.org/10.1142/s1793524523501097","url":null,"abstract":"","PeriodicalId":49273,"journal":{"name":"International Journal of Biomathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139177435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}