Journal of Biological Dynamics最新文献

{"title":"Mathematical assessment of the impact of cohort vaccination on pneumococcal carriage and serotype replacement.","authors":"Tufail M Malik,&nbsp;Jemal Mohammed-Awel,&nbsp;Abba B Gumel,&nbsp;Elamin H Elbasha","doi":"10.1080/17513758.2021.1884760","DOIUrl":"https://doi.org/10.1080/17513758.2021.1884760","url":null,"abstract":"<p><p>Although pneumococcal vaccines are quite effective in reducing disease burden, factors such as imperfect vaccine efficacy and serotype replacement present an important challenge against realizing direct and herd protection benefits of the vaccines. In this study, a novel mathematical model is designed and used to describe the dynamics of two <i>Streptococcus pneumoniae</i> (SP) serotypes, in response to the introduction of a cohort vaccination program which targets one of the two serotypes. The model is fitted to a pediatric SP carriage prevalence data from Atlanta, GA. The model, which is rigorously analysed to investigate the existence and asymptotic stability properties of the associated equilibria (in addition to exploring conditions for competitive exclusion), is simulated to assess the impact of vaccination under different levels of serotype-specific competition and illustrate the phenomenon of serotype replacement. The calibrated model is used to forecast the carriage prevalence in the pediatric cohort over 30 years.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 sup1","pages":"S214-S247"},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1884760","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25374642","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}

{"title":"How the concavity of reproduction/survival trade-offs impacts the evolution of life history strategies.","authors":"Alex P Farrell","doi":"10.1080/17513758.2020.1853834","DOIUrl":"https://doi.org/10.1080/17513758.2020.1853834","url":null,"abstract":"<p><p>Previous works using different mathematical techniques, however, show that the concavity of the trade-off relationship can alter the expected life history strategies. Thus we developed a model and found that the concavity of the reproduction-survival curve can still have a large impact on life history strategies in an ecological model with Darwinian evolution.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 sup1","pages":"S134-S167"},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1853834","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38665089","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}

{"title":"Editorial.","authors":"Abba Gumel,&nbsp;Yang Kuang","doi":"10.1080/17513758.2021.1925406","DOIUrl":"https://doi.org/10.1080/17513758.2021.1925406","url":null,"abstract":"The 7th International Conference on Mathematical Modelling and Analysis of Populations in Biology (ICMA-VII) was held at Arizona State University, Tempe, Arizona, USA, on 12–14 October 2019. This conference series has been held every two years since its inception in 2007 at the University of Arizona. Previous conferences were held at the University of Arizona in Tucson, University of Alabama inHuntsville, TrinityUniversity in San Antonio, Texas, Texas TechUniversity in Lubbock, Texas, andWesternUniversity, London, Ontario. ICMAVII, which built on the successes of previous ICMA conferences, attracted established and up-and-coming researchers and students from numerous disciplines in the mathematical and biological sciences. Specifically, the conference attracted 192 participants from 10 countries. The conference featured 108 oral and poster presentations, 79 of which were delivered by graduate students, postdoctoral fellows and early-career faculty on a number of broad general themes that included the formulation, validation, analysis and simulation of mathematical models for the spatiotemporal dynamics of biological populations. Specific topics covered included modelling, data analytics and analysis of phenomena in population biology, epidemiology, molecular and synthetic biology; mathematical oncology (cancer systems biology); genetic models; multi-host-vector-pathogen systems; persistence of ecosystems andmathematics of gene editing. The Plenary speakers at ICMA VII were Dr Natalia Komarova (Department of Mathematics, University of California, Irvine), DrQingNie (Department ofMathematics and Center forMathematical and Computational Biology, University of California, Irvine), Dr Sebastian Schreiber (Department of Evolution and Ecology, University of California, Davis) and Dr HaoWang (Department of Mathematics, University of Alberta, Canada). The conference featured a plenary lecture by the winners of the Lord Robert May Prize for the Best Paper Published in the Journal of Biological Dynamics 2017-2018. The prize was given to Drs Brian P. Yurk (Department of Mathematics, Hope College, MI, USA) and Christina A. Cobbold (School of Mathematics and Statistics, University of Glasgow, UK) for their paper titled \"Homogenization techniques for population dynamics in strongly heterogeneous landscapes”. We are very grateful to the members of the Local Organizing Committee and the Scientific Advisory Committee for their invaluable contributions to the success of ICMA-VII. We are especially very grateful to Professors JamesM. Cushing (University of Arizona) and Saber N. Elaydi (Trinity University) for their tireless contributions and support throughout the whole process of planning, fund-raising and running the conference, as well as in helping us edit this special issue.","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 sup1","pages":"S1-S2"},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2021.1925406","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38970500","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}

{"title":"Contrasting stoichiometric dynamics in terrestrial and aquatic grazer-producer systems.","authors":"Colleen M Davies,&nbsp;Hao Wang","doi":"10.1080/17513758.2020.1771442","DOIUrl":"https://doi.org/10.1080/17513758.2020.1771442","url":null,"abstract":"<p><p>The turnover rate of producer biomass in aquatic ecosystems is generally faster than in terrestrial. That is, aquatic producer biomass grows, is consumed, and is replaced considerably faster than terrestrial. The WKL model describes the flow of phosphorus and carbon through a grazer-producer system, hence varying the model parameters allows for analysis of different ecosystems of this type. Here we explore the impacts of the intrinsic growth rate of the producer and the maximal ingestion rate of the grazer on these dynamics because these parameters determine turnover rate. Simulations show that for low intrinsic growth rate and maximal ingestion rate, the grazer goes extinct; for higher values of these parameters, coexistence occurs in oscillations. Sensitivity analysis reveals the relative importance of all parameters on asymptotic dynamics. Lastly, the impacts of changing these two parameters in the LKE model appears to be quantitatively similar to the impacts in the WKL model.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 sup1","pages":"S3-S34"},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1771442","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37980603","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}

{"title":"A discrete/continuous time resource competition model and its implications.","authors":"Glenn Ledder,&nbsp;Richard Rebarber,&nbsp;Terrance Pendleton,&nbsp;Amanda N Laubmeier,&nbsp;Jonathan Weisbrod","doi":"10.1080/17513758.2020.1862927","DOIUrl":"https://doi.org/10.1080/17513758.2020.1862927","url":null,"abstract":"<p><p>We use a mixed time model to study the dynamics of a system consisting of two consumers that reproduce only in annual birth pulses, possibly at different times, with interaction limited to competition for a resource that reproduces continuously. Ecological theory predicts competitive exclusion; this expectation is met under most circumstances, the winner being the species with the greater 'power', defined as the time average consumer level at the fixed point. Instability of that fixed point for the stronger competitor slightly weakens its domination, so that a resident species with an unstable fixed point can sometimes be invaded by a slightly weaker species, leading ultimately to coexistence. Differences in birth pulse times can lead to qualitatively different long-term coexistence behaviour, including cycles of different lengths or chaos. We also determine conditions under which the timing of an annual pulse of a toxin can change the balance of power.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 sup1","pages":"S168-S189"},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1862927","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38395147","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}

{"title":"A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies.","authors":"J M Cushing","doi":"10.1080/17513758.2020.1858196","DOIUrl":"https://doi.org/10.1080/17513758.2020.1858196","url":null,"abstract":"<p><p>We prove bifurcation theorems for evolutionary game theoretic (Darwinian dynamic) versions of nonlinear matrix equations for structured population dynamics. These theorems generalize existing theorems concerning the bifurcation and stability of equilibrium solutions when an extinction equilibrium destabilizes by allowing for the general appearance of the bifurcation parameter. We apply the theorems to a Darwinian model designed to investigate the evolutionary selection of reproductive strategies that involve either low or high post-reproductive survival (semelparity or iteroparity). The model incorporates the phenotypic trait dependence of two features: population density effects on fertility and a trade-off between inherent fertility and post-reproductive survival. Our analysis of the model determines conditions under which evolution selects for low or for high reproductive survival. In some cases (notably an Allee component effect on newborn survival), the model predicts multiple attractor scenarios in which low or high reproductive survival is initial condition dependent.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"15 sup1","pages":"S190-S213"},"PeriodicalIF":2.8,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1858196","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38690356","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}

{"title":"The competition model with Holling type II competitive response to interfering time.","authors":"Hamlet Castillo-Alvino,&nbsp;Marcos Marvá","doi":"10.1080/17513758.2020.1742392","DOIUrl":"https://doi.org/10.1080/17513758.2020.1742392","url":null,"abstract":"<p><p>In Nature, species coexistence is much more frequent than what the classical competition model predicts, so that scientists look for mechanisms that explain such a coexistence. We revisit the classical competition model assuming that individuals invest time in competing individuals of the other species. This assumption extends the classical competition model (that becomes a particular case of the model presented) under the form of a Holling type II term, that we call <i>competitive response to interfering time</i>. The resulting model expands the outcomes allowed by the classical model by (i) enlarging the range of parameter values that allow coexistence scenarios and (ii) displaying dynamical scenarios not allowed by the classical model: namely, bi-stable conditional coexistence in favour of <i>i</i> (either species coexist or species <i>i</i> wins) or tri-stable conditional coexistence (either species coexist or any of them goes extinct), being exclusion in both cases due to priority effects.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"14 1","pages":"222-244"},"PeriodicalIF":2.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1742392","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37814047","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}

{"title":"Asymptotic analysis of a vector-borne disease model with the age of infection.","authors":"Xia Wang,&nbsp;Yuming Chen,&nbsp;Maia Martcheva,&nbsp;Libin Rong","doi":"10.1080/17513758.2020.1745912","DOIUrl":"https://doi.org/10.1080/17513758.2020.1745912","url":null,"abstract":"<p><p>Vector-borne infectious diseases may involve both horizontal transmission between hosts and transmission from infected vectors to susceptible hosts. In this paper, we incorporate these two transmission modes into a vector-borne disease model that includes general nonlinear incidence rates and the age of infection for both hosts and vectors. We show the existence, uniqueness, nonnegativity, and boundedness of solutions for the model. We study the existence and local stability of steady states, which is shown to be determined by the basic reproduction number. By showing the existence of a global compact attractor and uniform persistence of the system, we establish the threshold dynamics using the Fluctuation Lemma and the approach of Lyapunov functionals. When the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable and otherwise the disease will be established when there is initial infection force for the hosts. We also study a model with the standard incidence rate and discuss the effect of different incidence rates on the disease dynamics.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"14 1","pages":"332-367"},"PeriodicalIF":2.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1745912","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"37862707","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}

{"title":"Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response.","authors":"Dingyong Bai,&nbsp;Jinshui Li,&nbsp;Wenrui Zeng","doi":"10.1080/17513758.2020.1772999","DOIUrl":"https://doi.org/10.1080/17513758.2020.1772999","url":null,"abstract":"<p><p>In this paper, we consider a nonautonomous predator-prey system with Beddington-DeAngelis functional response and explore the global stability of boundary solution. Based on the dynamics of logistic equation, some new sufficient conditions on the global asymptotic stability of boundary solution are presented for general time-dependence case. Our main results indicate that (i) the long-term ineffective predation behaviour or high mortality of predator species will lead the predator species to extinction, even if the intraspecies competition of predator species is weak or no intraspecies competition; (ii) the long-term intense intraspecific competition may lead the predator species to extinction, even though the long-term accumulative predation benefit is higher than the death lose. When all parameters are periodic functions with common period, a necessary and sufficient condition on the global stability of boundary periodic solution is obtained. In addition, some numerical simulations are performed to illustrate the theoretical results.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"14 1","pages":"421-437"},"PeriodicalIF":2.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1772999","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38009793","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}

{"title":"A comparative analysis of host-parasitoid models with density dependence preceding parasitism.","authors":"Kelsey Marcinko,&nbsp;Mark Kot","doi":"10.1080/17513758.2020.1783005","DOIUrl":"https://doi.org/10.1080/17513758.2020.1783005","url":null,"abstract":"<p><p>We present a systematic comparison and analysis of four discrete-time, host-parasitoid models. For each model, we specify that density-dependent effects occur prior to parasitism in the life cycle of the host. We compare density-dependent growth functions arising from the Beverton-Holt and Ricker maps, as well as parasitism functions assuming either a Poisson or negative binomial distribution for parasitoid attacks. We show that overcompensatory density-dependence leads to period-doubling bifurcations, which may be supercritical or subcritical. Stronger parasitism from the Poisson distribution leads to loss of stability of the coexistence equilibrium through a Neimark-Sacker bifurcation, resulting in population cycles. Our analytic results also revealed dynamics for one of our models that were previously undetected by authors who conducted a numerical investigation. Finally, we emphasize the importance of clearly presenting biological assumptions that are inherent to the structure of a discrete-time model in order to promote communication and broader understanding.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"14 1","pages":"479-514"},"PeriodicalIF":2.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17513758.2020.1783005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38100255","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}