Journal of Biological Dynamics最新文献_第9页

A contact tracing SIR model for randomly mixed populations. 随机混合群体接触追踪SIR模型。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2153938

Sam Bednarski, Laura L E Cowen, Junling Ma, Tanya Philippsen, P van den Driessche, Manting Wang

引用次数: 0

Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis. 解读COVID-19在印度的传播动态:最优控制和成本效益分析。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2116493

Vijay Pal Bajiya, Sarita Bugalia, Jai Prakash Tripathi, Maia Martcheva

引用次数: 5

Analysis of HIV latent infection model with multiple infection stages and different drug classes. 多感染阶段、不同药物类别HIV潜伏感染模型分析。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2113828

Areej Alshorman, Nidal Al-Hosainat, Trachette Jackson

{"title":"Analysis of HIV latent infection model with multiple infection stages and different drug classes.","authors":"Areej Alshorman, Nidal Al-Hosainat, Trachette Jackson","doi":"10.1080/17513758.2022.2113828","DOIUrl":"https://doi.org/10.1080/17513758.2022.2113828","url":null,"abstract":"Latently infected CD<math><msup><mn>4</mn><mo>+</mo></msup></math> T cells represent one of the major obstacles to HIV eradication even after receiving prolonged highly active anti-retroviral therapy (HAART). Long-term use of HAART causes the emergence of drug-resistant virus which is then involved in HIV transmission. In this paper, we develop mathematical HIV models with staged disease progression by incorporating entry inhibitor and latently infected cells. We find that entry inhibitor has the same effect as protease inhibitor on the model dynamics and therefore would benefit HIV patients who developed resistance to many of current anti-HIV medications. Numerical simulations illustrate the theoretical results and show that the virus and latently infected cells reach an infected steady state in the absence of treatment and are eliminated under treatment whereas the model including homeostatic proliferation of latently infected cells maintains the virus at low level during suppressive treatment. Therefore, complete cure of HIV needs complete eradication of latent reservoirs.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":" ","pages":"713-732"},"PeriodicalIF":2.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"40559171","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

Control analysis of virotherapy chaotic system. 病毒治疗混沌系统的控制分析。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2104391

Javaria Iqbal, Salman Ahmad, Muhammad Marwan, Ayesha Rafiq

引用次数: 1

Optimal reduced-mixing for an SIS infectious-disease model. SIS传染病模型的最优减少混合。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2148764

Erin Stafford, Mark Kot

引用次数: 0

Modeling malaria transmission in Nepal: impact of imported cases through cross-border mobility. 尼泊尔疟疾传播建模:通过跨境流动输入病例的影响。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2096935

Ramesh Gautam, Anjana Pokharel, Khagendra Adhikari, Kedar Nath Uprety, Naveen K Vaidya

引用次数: 1

The effects of evolution on the stability of competing species. 进化对竞争物种稳定性的影响。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2154860

S Elaydi, Y Kang, R Luís

{"title":"The effects of evolution on the stability of competing species.","authors":"S Elaydi, Y Kang, R Luís","doi":"10.1080/17513758.2022.2154860","DOIUrl":"https://doi.org/10.1080/17513758.2022.2154860","url":null,"abstract":"Based on evolutionary game theory and Darwinian evolution, we propose and study discrete-time competition models of two species where at least one species has an evolving trait that affects their intra-specific, but not their inter-specific competition coefficients. By using perturbation theory, and the theory of the limiting equations of non-autonomous discrete dynamical systems, we obtain global stability results. Our theoretical results indicate that evolution may promote and/or suppress the stability of the coexistence equilibrium depending on the environment. This relies crucially on the speed of evolution and on how the intra-specific competition coefficient depends on the evolving trait. In general, equilibrium destabilization occurs when <math><mi>α</mi><mo>></mo><mn>2</mn></math>, when the speed of evolution is sufficiently slow. In this case, we conclude that evolution selects against complex dynamics. However, when evolution proceeds at a faster pace, destabilization can occur when <math><mi>α</mi><mo><</mo><mn>2</mn></math>. In this case, if the competition coefficient is highly sensitive to changes in the trait v, destabilization and complex dynamics occur. Moreover, destabilization may lead to either a period-doubling bifurcation, as in the non-evolutionary Ricker equation, or to a Neimark-Sacker bifurcation.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"16 1","pages":"816-839"},"PeriodicalIF":2.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10488189","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: 4

Dynamics and control strategy for a delayed viral infection model. 延迟病毒感染模型的动力学与控制策略。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2022.2028024

Suxia Zhang, Fei Li, Xiaxia Xu

引用次数: 2

Hopf bifurcation in delayed nutrient-microorganism model with network structure. 具有网络结构的延迟营养-微生物模型的Hopf分岔。

IF 2.2 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 DOI: 10.1080/17513758.2021.2020915

Mengxin Chen, Qianqian Zheng, Ranchao Wu, Liping Chen

引用次数: 0

Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model. 野生和沃尔巴克氏体感染雄蚊交互模型周期解的唯一性和稳定性。

IF 2.8 4区数学

Journal of Biological Dynamics Pub Date : 2022-12-01 Epub Date: 2022-02-15 DOI: 10.1080/17513758.2022.2037760

Rong Yan, Qiwen Sun

{"title":"Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model.","authors":"Rong Yan, Qiwen Sun","doi":"10.1080/17513758.2022.2037760","DOIUrl":"https://doi.org/10.1080/17513758.2022.2037760","url":null,"abstract":"We investigate a mosquito population suppression model, which includes the release of Wolbachia-infected males causing incomplete cytoplasmic incompatibility (CI). The model consists of two sub-equations by considering the density-dependent birth rate of wild mosquitoes. By assuming the release waiting period T is larger than the sexual lifespan <math><mrow><mover><mi>T</mi><mo>¯</mo></mover></mrow></math> of Wolbachia-infected males, we derive four thresholds: the CI intensity threshold <math><msubsup><mi>s</mi><mi>h</mi><mo>∗</mo></msubsup></math>, the release amount thresholds <math><msup><mi>g</mi><mo>∗</mo></msup></math> and <math><msup><mi>c</mi><mo>∗</mo></msup></math>, and the waiting period threshold <math><msup><mi>T</mi><mo>∗</mo></msup></math>. From a biological view, we assume <math><msub><mi>s</mi><mi>h</mi></msub><mo>></mo><msubsup><mi>s</mi><mi>h</mi><mo>∗</mo></msubsup></math> throughout the paper. When <math><msup><mi>g</mi><mo>∗</mo></msup><mo><</mo><mi>c</mi><mo><</mo><msup><mi>c</mi><mo>∗</mo></msup></math>, we prove the origin <math><msub><mi>E</mi><mn>0</mn></msub></math> is locally asymptotically stable iff <math><mi>T</mi><mo><</mo><msup><mi>T</mi><mo>∗</mo></msup></math>, and the model admits a unique T-periodic solution iff <math><mi>T</mi><mo>≥</mo><msup><mi>T</mi><mo>∗</mo></msup></math>, which is globally asymptotically stable. When <math><mi>c</mi><mo>≥</mo><msup><mi>c</mi><mo>∗</mo></msup></math>, we show the origin <math><msub><mi>E</mi><mn>0</mn></msub></math> is globally asymptotically stable iff <math><mi>T</mi><mo>≤</mo><msup><mi>T</mi><mo>∗</mo></msup></math>, and the model has a unique T-periodic solution iff <math><mi>T</mi><mo>></mo><msup><mi>T</mi><mo>∗</mo></msup></math>, which is globally asymptotically stable. Our theoretical results are confirmed by numerical simulations.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":" ","pages":"254-276"},"PeriodicalIF":2.8,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39801218","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: 2