Mathematical Biosciences and Engineering: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=8 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14245 The potential impact of a prophylactic vaccine for Ebola in Sierra Leone http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14245 ebolavirus (rVSV-ZEBOV) has been developed, and clinical trials show near-perfect efficacy. We have developed an ordinary differential equations model that simulates an EVD epidemic and takes into account (1) transmission through contact with infectious EVD individuals and deceased EVD bodies, (2) the heterogeneity of the risk of becoming infected with EVD, and (3) the increased survival rate of infected EVD patients due to greater access to trained healthcare providers. Using fitted parameter values that closely simulate the dynamics of the 2014 outbreak in Sierra Leone, we utilize our model to predict the potential impact of a prophylactic vaccine for the ebolavirus using various vaccination strategies including ring vaccination. Our results show that an rVSV-ZEBOV vaccination coverage as low as 40% in the general population and 95% in healthcare workers will prevent another catastrophic outbreak like the 2014 outbreak from occurring. ]]> Erin N. Bodine, Connor Cook and Mikayla Shorten Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14246 A multiscale model for heterogeneous tumor spheroid in vitro http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14246 Zhan Chen and Yuting Zou Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14247 Effect of rotational grazing on plant and animal production http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14247 Mayee Chen and Junping Shi Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14248 Mathematical model for the growth of Mycobacterium tuberculosis in the granuloma http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14248 Mycobacterium tuberculosis (Mtb), the causative agent of tuberculosis (TB). Our main interest is to assess the impact of the competition among bacteria on the infection prevalence. For this end, we assume that Mtb population has two types of growth. The first one is due to bacteria produced in the interior of each infected macrophage, and it is assumed that is proportional to the number of infected macrophages. The second one is of logistic type due to the competition among free bacteria released by the same infected macrophages. The qualitative analysis and numerical results suggests the existence of forward, backward and S-shaped bifurcations when the associated reproduction number $R_0$ of the Mtb is less unity. In addition, qualitative analysis of the model shows that there may be up to three bacteria-present equilibria, two locally asymptotically stable, and one unstable. ]]> Eduardo Ibargüen-Mondragón, Lourdes Esteva and Edith Mariela Burbano-Rosero Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14249 Mathematical analysis and modeling of DNA segregation mechanisms http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14249 Bashar Ibrahim Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14250 A network model for control of dengue epidemic using sterile insect technique http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14250 Arti Mishra, Benjamin Ambrosio, Sunita Gakkhar and M. A. Aziz-Alaoui Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14251 Spatially-implicit modelling of disease-behaviour interactions in the context of non-pharmaceutical interventions http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14251 Notice Ringa and Chris T. Bauch Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14252 Optimal vaccination strategies for an SEIR model of infectious diseases with logistic growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14252 Markus Thäter, Kurt Chudej and Hans Josef Pesch Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14253 Formulation of the protein synthesis rate with sequence information http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14253 Wenjun Xia and Jinzhi Lei Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14254 Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14254 Aedes aegypti, Aedes albopictus, and Anopheles stephensi. In the last few years, a new disease control method, besides pesticide spraying to kill mosquitoes, has been developed by releasing mosquitoes carrying bacterium Wolbachia into the natural areas to infect the wild population of mosquitoes and block disease transmission. The bacterium is transmitted by infected mothers and the maternal transmission was assumed to be perfect in virtually all previous models. However, recent experiments on Aedes aegypti and Anopheles stephensi showed that the transmission can be imperfect. In this work, we develop a model to describe how the imperfect maternal transmission affects the dynamics of Wolbachia spread. We establish two useful identities and employ them to find sufficient and necessary conditions under which the system exhibits monomorphic, bistable, and polymorphic dynamics. These analytical results may help find a plausible explanation for the recent observation that the Wolbachia strain $\omega$MelPop failed to establish in the natural populations in Australia and Vietnam. ]]> Bo Zheng, Wenliang Guo, Linchao Hu, Mugen Huang and Jianshe Yu Sun, 1 Apr 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14255 Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14255 Linhua Zhou, Meng Fan, Qiang Hou, Zhen Jin and Xiangdong Sun Sun, 1 Apr 2018 08:00:00 GMT