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Dynamics of a non-autonomous delay mosquito population suppression model with Wolbachia-infected male mosquitoes.
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-12-04 DOI: 10.1080/17513758.2024.2437034
Yufeng Wang, Jianshe Yu
{"title":"Dynamics of a non-autonomous delay mosquito population suppression model with <i>Wolbachia</i>-infected male mosquitoes.","authors":"Yufeng Wang, Jianshe Yu","doi":"10.1080/17513758.2024.2437034","DOIUrl":"https://doi.org/10.1080/17513758.2024.2437034","url":null,"abstract":"<p><p>In this paper, we develop a non-autonomous delay differential equation model for mosquito population suppression. After establishing the positiveness and boundedness of the solutions, we study the dynamical behaviours of the model with or without <i>Wolbachia</i>-infected male mosquitoes. More specifically, for the model without infected male mosquitoes, we analyse the asymptotic stability of the equilibria and demonstrate that the model undergo Hopf bifurcations under certain conditions. For the model incorporating infected male mosquitoes, we derive sufficient conditions for the global asymptotic stability of the origin. Numerical examples are provided to illustrate and support our theoretical findings.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2437034"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142781624","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
The dynamics of tuberculosis transmission model with different genders. 不同性别的结核病传播动态模型。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-09-06 DOI: 10.1080/17513758.2024.2394665
Si Wang, Hui Cao
{"title":"The dynamics of tuberculosis transmission model with different genders.","authors":"Si Wang, Hui Cao","doi":"10.1080/17513758.2024.2394665","DOIUrl":"https://doi.org/10.1080/17513758.2024.2394665","url":null,"abstract":"<p><p>The dynamics of tuberculosis transmission model with different genders are to be established and studied. The basic regeneration numbers <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>=</mo><msub><mrow><mi>R</mi></mrow><mi>F</mi></msub><mo>+</mo><msub><mrow><mi>R</mi></mrow><mi>M</mi></msub></math> are to be defined, where <math><msub><mrow><mi>R</mi></mrow><mi>F</mi></msub></math> and <math><msub><mrow><mi>R</mi></mrow><mi>M</mi></msub></math> to be the basic reproduction number of tuberculosis transmission in female and male populations, respectively. The existence and global stability of the disease-free equilibrium was discussed when <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo><</mo><mn>1</mn></math>. The global dynamic behaviours of the corresponding limit system under some conditions are to be provided, including the existence, uniqueness, and global stability of the disease-free equilibrium and endemic equilibrium. The numerical simulation shows that the endemic equilibrium may be unique and stable when <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>></mo><mn>1</mn></math>, and the system will undergo Hopf bifurcation based on some parameter values. Finally, we applied this model to analyse the transmission of tuberculosis in China, estimated the incidence of tuberculosis in China in 2035, and gave the conclusion that controlling the incidence of tuberculosis in male populations could better reduce the incidence of tuberculosis in China.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2394665"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142141525","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
Global dynamics of discrete mathematical models of tuberculosis. 结核病离散数学模型的全球动力学。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-03-17 DOI: 10.1080/17513758.2024.2323724
Saber Elaydi, René Lozi
{"title":"Global dynamics of discrete mathematical models of tuberculosis.","authors":"Saber Elaydi, René Lozi","doi":"10.1080/17513758.2024.2323724","DOIUrl":"10.1080/17513758.2024.2323724","url":null,"abstract":"<p><p>In this paper, we develop discrete models of Tuberculosis (TB). This includes SEI endogenous and exogenous models without treatment. These models are then extended to a SEIT model with treatment. We develop two types of net reproduction numbers, one is the traditional <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math> which is based on the disease-free equilibrium, and a new net reproduction number <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>(</mo><msup><mrow><mi>E</mi></mrow><mo>∗</mo></msup><mo>)</mo></math> based on the endemic equilibrium. It is shown that the disease-free equilibrium is globally asymptotically stable if <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>≤</mo><mtext> </mtext><mn>1</mn></math> and unstable if <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>></mo><mn>1</mn></math>. Moreover, the endemic equilibrium is locally asymptotically stable if <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>(</mo><msup><mrow><mi>E</mi></mrow><mo>∗</mo></msup><mo>)</mo><mo><</mo><mn>1</mn><mo><</mo><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math>.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2323724"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140144412","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
A stochastic multi-host model for West Nile virus transmission. 西尼罗河病毒传播的多宿主随机模型。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2023-12-28 DOI: 10.1080/17513758.2023.2293780
Emily B Horton, Suzanne L Robertson
{"title":"A stochastic multi-host model for West Nile virus transmission.","authors":"Emily B Horton, Suzanne L Robertson","doi":"10.1080/17513758.2023.2293780","DOIUrl":"10.1080/17513758.2023.2293780","url":null,"abstract":"<p><p>When initially introduced into a susceptible population, a disease may die out or result in a major outbreak. We present a Continuous-Time Markov Chain model for enzootic WNV transmission between two avian host species and a single vector, and use multitype branching process theory to determine the probability of disease extinction based upon the type of infected individual initially introducing the disease into the population - an exposed vector, infectious vector, or infectious host of either species. We explore how the likelihood of disease extinction depends on the ability of each host species to transmit WNV, vector biting rates on host species, and the relative abundance of host species, as well as vector abundance. Theoretical predictions are compared to the outcome of stochastic simulations. We find the community composition of hosts and vectors, as well as the means of disease introduction, can greatly affect the probability of disease extinction.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2293780"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139049625","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
Investigating the impact of vaccine hesitancy on an emerging infectious disease: a mathematical and numerical analysis. 调查疫苗犹豫不决对新发传染病的影响：数学和数值分析。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-01-04 DOI: 10.1080/17513758.2023.2298988
Indunil M Hewage, Kevin E M Church, Elissa J Schwartz
{"title":"Investigating the impact of vaccine hesitancy on an emerging infectious disease: a mathematical and numerical analysis.","authors":"Indunil M Hewage, Kevin E M Church, Elissa J Schwartz","doi":"10.1080/17513758.2023.2298988","DOIUrl":"10.1080/17513758.2023.2298988","url":null,"abstract":"<p><p>Throughout the last two centuries, vaccines have been helpful in mitigating numerous epidemic diseases. However, vaccine hesitancy has been identified as a substantial obstacle in healthcare management. We examined the epidemiological dynamics of an emerging infection under vaccination using an SVEIR model with differential morbidity. We mathematically analyzed the model, derived <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub></math>, and provided a complete analysis of the bifurcation at <math><msub><mrow><mi>R</mi></mrow><mn>0</mn></msub><mo>=</mo><mn>1</mn></math>. Sensitivity analysis and numerical simulations were used to quantify the tradeoffs between vaccine efficacy and vaccine hesitancy on reducing the disease burden. Our results indicated that if the percentage of the population hesitant about taking the vaccine is 10%, then a vaccine with 94% efficacy is required to reduce the peak of infections by 40%. If 60% of the population is reluctant about being vaccinated, then even a perfect vaccine will not be able to reduce the peak of infections by 40%.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2298988"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139089128","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
Optimal control of a multi-scale HIV-opioid model. 多尺度 HIV-opioid 模型的优化控制。
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-02-18 DOI: 10.1080/17513758.2024.2317245
Eric Numfor, Necibe Tuncer, Maia Martcheva
{"title":"Optimal control of a multi-scale HIV-opioid model.","authors":"Eric Numfor, Necibe Tuncer, Maia Martcheva","doi":"10.1080/17513758.2024.2317245","DOIUrl":"10.1080/17513758.2024.2317245","url":null,"abstract":"<p><p>In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HIV risk behaviour among opioid users, entry inhibiting antiviral therapy, and antiviral therapy which blocks the viral production. Two population-level controls are combined with two within-host-level controls. We prove the existence and uniqueness of an optimal control quadruple. Comparing the two population-level controls, we find that reducing the HIV risk of opioid users has a stronger impact on the population who is both HIV-infected and opioid-dependent than treating the opioid disorder. The within-host-level antiviral treatment has an effect not only on the co-affected population but also on the HIV-only infected population. Our findings suggest that the most effective strategy for managing the HIV and opioid epidemics is combining all controls at both within-host and between-host scales.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2317245"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139900750","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
Introduction. 介绍。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-07-05 DOI: 10.1080/17513758.2024.2367892
Abba B Gumel, Shandelle Henson
{"title":"Introduction.","authors":"Abba B Gumel, Shandelle Henson","doi":"10.1080/17513758.2024.2367892","DOIUrl":"10.1080/17513758.2024.2367892","url":null,"abstract":"","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2367892"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141535763","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
An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents. 用直接作用抗病毒药物治疗丙型肝炎病毒感染的细胞增殖 ODEs 多尺度模型。
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-11-13 DOI: 10.1080/17513758.2024.2423956
Hesham A Elkaranshawy, Hossam M Ezzat
{"title":"An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents.","authors":"Hesham A Elkaranshawy, Hossam M Ezzat","doi":"10.1080/17513758.2024.2423956","DOIUrl":"https://doi.org/10.1080/17513758.2024.2423956","url":null,"abstract":"<p><p>In a recent study, a mathematically identical ODE model is derived from a multiscale PDE model of hepatitis C virus infection, which helps to overcome the limitations of the PDE model in the analysis. Here, an extended proposed model is formulated for this transformed ODE model by including the hepatocyte proliferation of both uninfected and infected cells. Unlike the transformed model, the proposed model can predict the triphasic viral decline and the virus level after therapy cessation without oscillations. Numerical simulations are performed to investigate the effect of hepatocyte proliferation and therapy with direct-acting antivirals agents (DAAs). The basic reproduction number is obtained, the equilibrium points are specified, and their stability is analysed. A bifurcation analysis is performed to specify the bifurcation points and to study the effect of varying system parameters. Various viral load profiles generated by the model are confirmed to fit with reported data in the literature.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2423956"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142630730","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
Aziz Yakubu. 圣雅库布
IF 1.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-06-27 DOI: 10.1080/17513758.2024.2367893
Mike Reed
{"title":"Aziz Yakubu.","authors":"Mike Reed","doi":"10.1080/17513758.2024.2367893","DOIUrl":"https://doi.org/10.1080/17513758.2024.2367893","url":null,"abstract":"","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2367893"},"PeriodicalIF":1.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141460181","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
Hunting cooperation in a prey-predator model with maturation delay. 有成熟延迟的猎物-捕食者模型中的狩猎合作
IF 2.8 4区 数学
Journal of Biological Dynamics Pub Date : 2024-12-01 Epub Date: 2024-03-22 DOI: 10.1080/17513758.2024.2332279
Yoichi Enatsu, Jyotirmoy Roy, Malay Banerjee
{"title":"Hunting cooperation in a prey-predator model with maturation delay.","authors":"Yoichi Enatsu, Jyotirmoy Roy, Malay Banerjee","doi":"10.1080/17513758.2024.2332279","DOIUrl":"10.1080/17513758.2024.2332279","url":null,"abstract":"<p><p>We investigate the dynamics of a prey-predator model with cooperative hunting among specialist predators and maturation delay in predator growth. First, we consider a model without delay and explore the effect of hunting time on the coexistence of predator and their prey. When the hunting time is long enough and the cooperation rate among predators is weak, prey and predator species tend to coexist. Furthermore, we observe the occurrences of a series of bifurcations that depend on the cooperation rate and the hunting time. Second, we introduce a maturation delay for predator growth and analyse its impact on the system's dynamics. We find that as the delay becomes larger, predator species become more likely to go extinct, as the long maturation delay hinders the growth of the predator population. Our numerical exploration reveals that the delay causes shifts in both the bifurcation curves and bifurcation thresholds of the non-delayed system.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"18 1","pages":"2332279"},"PeriodicalIF":2.8,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140186045","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
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