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Neuronal activity induces symmetry breaking in neurodegenerative disease spreading. 神经元活动诱导神经退行性疾病扩散过程中的对称性破坏
IF 2.2 4区 数学
Journal of Mathematical Biology Pub Date : 2024-05-13 DOI: 10.1007/s00285-024-02103-x
Christoffer G Alexandersen, Alain Goriely, Christian Bick
{"title":"Neuronal activity induces symmetry breaking in neurodegenerative disease spreading.","authors":"Christoffer G Alexandersen, Alain Goriely, Christian Bick","doi":"10.1007/s00285-024-02103-x","DOIUrl":"10.1007/s00285-024-02103-x","url":null,"abstract":"<p><p>Dynamical systems on networks typically involve several dynamical processes evolving at different timescales. For instance, in Alzheimer's disease, the spread of toxic protein throughout the brain not only disrupts neuronal activity but is also influenced by neuronal activity itself, establishing a feedback loop between the fast neuronal activity and the slow protein spreading. Motivated by the case of Alzheimer's disease, we study the multiple-timescale dynamics of a heterodimer spreading process on an adaptive network of Kuramoto oscillators. Using a minimal two-node model, we establish that heterogeneous oscillatory activity facilitates toxic outbreaks and induces symmetry breaking in the spreading patterns. We then extend the model formulation to larger networks and perform numerical simulations of the slow-fast dynamics on common network motifs and on the brain connectome. The simulations corroborate the findings from the minimal model, underscoring the significance of multiple-timescale dynamics in the modeling of neurodegenerative diseases.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140917194","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
Modelling the impact of precaution on disease dynamics and its evolution. 模拟预防措施对疾病动态及其演变的影响。
IF 2.2 4区 数学
Journal of Mathematical Biology Pub Date : 2024-05-06 DOI: 10.1007/s00285-024-02100-0
Tianyu Cheng, Xingfu Zou
{"title":"Modelling the impact of precaution on disease dynamics and its evolution.","authors":"Tianyu Cheng, Xingfu Zou","doi":"10.1007/s00285-024-02100-0","DOIUrl":"10.1007/s00285-024-02100-0","url":null,"abstract":"<p><p>In this paper, we introduce the notion of practically susceptible population, which is a fraction of the biologically susceptible population. Assuming that the fraction depends on the severity of the epidemic and the public's level of precaution (as a response of the public to the epidemic), we propose a general framework model with the response level evolving with the epidemic. We firstly verify the well-posedness and confirm the disease's eventual vanishing for the framework model under the assumption that the basic reproduction number <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo><</mo> <mn>1</mn></mrow> </math> . For <math> <mrow><msub><mi>R</mi> <mn>0</mn></msub> <mo>></mo> <mn>1</mn></mrow> </math> , we study how the behavioural response evolves with epidemics and how such an evolution impacts the disease dynamics. More specifically, when the precaution level is taken to be the instantaneous best response function in literature, we show that the endemic dynamic is convergence to the endemic equilibrium; while when the precaution level is the delayed best response, the endemic dynamic can be either convergence to the endemic equilibrium, or convergence to a positive periodic solution. Our derivation offers a justification/explanation for the best response used in some literature. By replacing \"adopting the best response\" with \"adapting toward the best response\", we also explore the adaptive long-term dynamics.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140861253","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
Modelling phytoplankton-virus interactions: phytoplankton blooms and lytic virus transmission. 浮游植物与病毒的相互作用建模：浮游植物藻华与裂解病毒传播。
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-05-02 DOI: 10.1007/s00285-024-02093-w
Jimin Zhang, Yawen Yan, Junping Shi
{"title":"Modelling phytoplankton-virus interactions: phytoplankton blooms and lytic virus transmission.","authors":"Jimin Zhang, Yawen Yan, Junping Shi","doi":"10.1007/s00285-024-02093-w","DOIUrl":"10.1007/s00285-024-02093-w","url":null,"abstract":"<p><p>A dynamic reaction-diffusion model of four variables is proposed to describe the spread of lytic viruses among phytoplankton in a poorly mixed aquatic environment. The basic ecological reproductive index for phytoplankton invasion and the basic reproduction number for virus transmission are derived to characterize the phytoplankton growth and virus transmission dynamics. The theoretical and numerical results from the model show that the spread of lytic viruses effectively controls phytoplankton blooms. This validates the observations and experimental results of Emiliana huxleyi-lytic virus interactions. The studies also indicate that the lytic virus transmission cannot occur in a low-light or oligotrophic aquatic environment.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11065791/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140867246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity 具有季节性和空间异质性的反应-平流-扩散血吸虫病流行模型的阈值动力学
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-30 DOI: 10.1007/s00285-024-02097-6
Peng Wu, Yurij Salmaniw, Xiunan Wang
{"title":"Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity","authors":"Peng Wu, Yurij Salmaniw, Xiunan Wang","doi":"10.1007/s00285-024-02097-6","DOIUrl":"https://doi.org/10.1007/s00285-024-02097-6","url":null,"abstract":"<p>Most water-borne disease models ignore the advection of water flows in order to simplify the mathematical analysis and numerical computation. However, advection can play an important role in determining the disease transmission dynamics. In this paper, we investigate the long-term dynamics of a periodic reaction–advection–diffusion schistosomiasis model and explore the joint impact of advection, seasonality and spatial heterogeneity on the transmission of the disease. We derive the basic reproduction number <span>({mathcal {R}}_0)</span> and show that the disease-free periodic solution is globally attractive when <span>({mathcal {R}}_0&lt;1)</span> whereas there is a positive endemic periodic solution and the system is uniformly persistent in a special case when <span>({mathcal {R}}_0&gt;1)</span>. Moreover, we find that <span>({mathcal {R}}_0)</span> is a decreasing function of the advection coefficients which offers insights into why schistosomiasis is more serious in regions with slow water flows.\u0000</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140837896","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
Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes 带有囊壳的一般延迟型 HBV 感染模型的动力学分析以及暴露感染肝细胞时的适应性免疫反应
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-30 DOI: 10.1007/s00285-024-02096-7
Severin Foko
{"title":"Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes","authors":"Severin Foko","doi":"10.1007/s00285-024-02096-7","DOIUrl":"https://doi.org/10.1007/s00285-024-02096-7","url":null,"abstract":"<p>The aim of this paper is to develop and investigate a novel mathematical model of the dynamical behaviors of chronic hepatitis B virus infection. The model includes exposed infected hepatocytes, intracellular HBV DNA-containing capsids, uses a general incidence function for viral infection covering a variety of special cases available in the literature, and describes the interaction of cytotoxic T lymphocytes that kill the infected hepatocytes and the magnitude of B-cells that send antibody immune defense to neutralize free virions. Further, one time delay is incorporated to account for actual capsids production. The other time delays are used to account for maturation of capsids and free viruses. We start with the analysis of the proposed model by establishing the local and global existence, uniqueness, non-negativity and boundedness of solutions. After defined the threshold parameters, we discuss the stability properties of all possible steady state constants by using the crafty Lyapunov functionals, the LaSalle’s invariance principle and linearization methods. The impacts of the three time delays on the HBV infection transmission are discussed through local and global sensitivity analysis of the basic reproduction number and of the classes of infected states. Finally, an application is provided and numerical simulations are performed to illustrate and interpret the theoretical results obtained. It is suggested that, a good strategy to eradicate or to control HBV infection within a host should concentrate on any drugs that may prolong the values of the three delays.\u0000</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140837927","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
Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods 具有季节性发育期和固有潜伏期的反应-平流-扩散登革热模型的传播动力学
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-29 DOI: 10.1007/s00285-024-02089-6
Yijie Zha, Weihua Jiang
{"title":"Transmission dynamics of a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods","authors":"Yijie Zha, Weihua Jiang","doi":"10.1007/s00285-024-02089-6","DOIUrl":"https://doi.org/10.1007/s00285-024-02089-6","url":null,"abstract":"<p>In this paper, we propose a reaction–advection–diffusion dengue fever model with seasonal developmental durations and intrinsic incubation periods. Firstly, we establish the well-posedness of the model. Secondly, we define the basic reproduction number <span>( Re _{0} )</span> for this model and show that <span>( {Re _0} )</span> is a threshold parameter: if <span>( {Re _0} &lt;1 )</span>, then the disease-free periodic solution is globally attractive; if <span>( {Re _0}&gt;1 )</span>, the system is uniformly persistent. Thirdly, we study the global attractivity of the positive steady state when the spatial environment is homogeneous and the advection of mosquitoes is ignored. As an example, we use the model to investigate the dengue fever transmission case in Guangdong Province, China, and explore the impact of model parameters on <span>( Re _{0})</span>. Our findings indicate that ignoring seasonality may underestimate <span>(Re _0)</span>. Additionally, the spatial heterogeneity of transmission may increase the risk of disease transmission, while the increase of seasonal developmental durations, intrinsic incubation periods and advection rates can all reduce the risk of disease transmission.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140837898","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
Modeling insect growth regulators for pest management 昆虫生长调节剂模型用于害虫管理
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-29 DOI: 10.1007/s00285-024-02091-y
Yijun Lou, Ruiwen Wu
{"title":"Modeling insect growth regulators for pest management","authors":"Yijun Lou, Ruiwen Wu","doi":"10.1007/s00285-024-02091-y","DOIUrl":"https://doi.org/10.1007/s00285-024-02091-y","url":null,"abstract":"<p>Insect growth regulators (IGRs) have been developed as effective control measures against harmful insect pests to disrupt their normal development. This study is to propose a mathematical model to evaluate the cost-effectiveness of IGRs for pest management. The key features of the model include the temperature-dependent growth of insects and realistic impulsive IGRs releasing strategies. The impulsive releases are carefully modeled by counting the number of implements during an insect’s temperature-dependent development duration, which introduces a surviving probability determined by a product of terms corresponding to each release. Dynamical behavior of the model is illustrated through dynamical system analysis and a threshold-type result is established in terms of the net reproduction number. Further numerical simulations are performed to quantitatively evaluate the effectiveness of IGRs to control populations of harmful insect pests. It is interesting to observe that the time-changing environment plays an important role in determining an optimal pest control scheme with appropriate release frequencies and time instants.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140809040","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
Wolbachia invasion dynamics of a random mosquito population model with imperfect maternal transmission and incomplete CI 具有不完全母体传播和不完全 CI 的随机蚊子种群模型的沃尔巴克氏体入侵动力学
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-28 DOI: 10.1007/s00285-024-02094-9
Hui Wan, Yin Wu, Guihong Fan, Dan Li
{"title":"Wolbachia invasion dynamics of a random mosquito population model with imperfect maternal transmission and incomplete CI","authors":"Hui Wan, Yin Wu, Guihong Fan, Dan Li","doi":"10.1007/s00285-024-02094-9","DOIUrl":"https://doi.org/10.1007/s00285-024-02094-9","url":null,"abstract":"<p>In this work, we formulate a random <i>Wolbachia</i> invasion model incorporating the effects of imperfect maternal transmission and incomplete cytoplasmic incompatibility (CI). Under constant environments, we obtain the following results: Firstly, the complete invasion equilibrium of <i>Wolbachia</i> does not exist, and thus the population replacement is not achievable in the case of imperfect maternal transmission; Secondly, imperfect maternal transmission or incomplete CI may obliterate bistability and backward bifurcation, which leads to the failure of <i>Wolbachia</i> invasion, no matter how many infected mosquitoes would be released; Thirdly, the threshold number of the infected mosquitoes to be released would increase with the decrease of the maternal transmission rate or the intensity of CI effect. In random environments, we investigate in detail the <i>Wolbachia</i> invasion dynamics of the random mosquito population model and establish the initial release threshold of infected mosquitoes for successful invasion of <i>Wolbachia</i> into the wild mosquito population. In particular, the existence and stability of invariant probability measures for the establishment and extinction of <i>Wolbachia</i> are determined.</p>","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140808922","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
Analysis of long transients and detection of early warning signals of extinction in a class of predator-prey models exhibiting bistable behavior. 在一类表现出双稳态行为的捕食者-猎物模型中分析长瞬态并探测灭绝预警信号。
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-26 DOI: 10.1007/s00285-024-02095-8
S. Sadhu, S. Chakraborty Thakur
{"title":"Analysis of long transients and detection of early warning signals of extinction in a class of predator-prey models exhibiting bistable behavior.","authors":"S. Sadhu, S. Chakraborty Thakur","doi":"10.1007/s00285-024-02095-8","DOIUrl":"https://doi.org/10.1007/s00285-024-02095-8","url":null,"abstract":"","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140652762","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 immuno-epidemiological model with waning immunity after infection or vaccination. 感染或接种疫苗后免疫力减弱的免疫流行病学模型。
IF 1.9 4区 数学
Journal of Mathematical Biology Pub Date : 2024-04-26 DOI: 10.1007/s00285-024-02090-z
Georgi Angelov, Raimund Kovacevic, N. Stilianakis, V. Veliov
{"title":"An immuno-epidemiological model with waning immunity after infection or vaccination.","authors":"Georgi Angelov, Raimund Kovacevic, N. Stilianakis, V. Veliov","doi":"10.1007/s00285-024-02090-z","DOIUrl":"https://doi.org/10.1007/s00285-024-02090-z","url":null,"abstract":"","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140652160","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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