Mathematical Biosciences and Engineering: latest papers Latest articles for selected journal The potential impact of a prophylactic vaccine for Ebola in Sierra Leone 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 A multiscale model for heterogeneous tumor spheroid in vitro Zhan Chen and Yuting Zou Sun, 1 Apr 2018 08:00:00 GMT Effect of rotational grazing on plant and animal production Mayee Chen and Junping Shi Sun, 1 Apr 2018 08:00:00 GMT Mathematical model for the growth of Mycobacterium tuberculosis in the granuloma 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 Mathematical analysis and modeling of DNA segregation mechanisms Bashar Ibrahim Sun, 1 Apr 2018 08:00:00 GMT A network model for control of dengue epidemic using sterile insect technique Arti Mishra, Benjamin Ambrosio, Sunita Gakkhar and M. A. Aziz-Alaoui Sun, 1 Apr 2018 08:00:00 GMT Spatially-implicit modelling of disease-behaviour interactions in the context of non-pharmaceutical interventions Notice Ringa and Chris T. Bauch Sun, 1 Apr 2018 08:00:00 GMT Optimal vaccination strategies for an SEIR model of infectious diseases with logistic growth Markus Thäter, Kurt Chudej and Hans Josef Pesch Sun, 1 Apr 2018 08:00:00 GMT Formulation of the protein synthesis rate with sequence information Wenjun Xia and Jinzhi Lei Sun, 1 Apr 2018 08:00:00 GMT Complex wolbachia infection dynamics in mosquitoes with imperfect maternal transmission 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 Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China Linhua Zhou, Meng Fan, Qiang Hou, Zhen Jin and Xiangdong Sun Sun, 1 Apr 2018 08:00:00 GMT