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2019 Volume 16, Issue 1

Research article
Stochastic modeling of algal bloom dynamics with delayed nutrient recycling
Xuehui Ji,  Sanling Yuan,  Tonghua Zhang,  Huaiping Zhu
2019, Volume 16, Issue 1: 1-24. doi: 10.3934/mbe.2019001
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Research article
Stoichiometric modeling of aboveground-belowground interaction of herbaceous plant
Xinru Zhou,  Xinmiao Rong,  Meng Fan,  Josué-Antonio Nescolarde-Selvaa
2019, Volume 16, Issue 1: 25-55. doi: 10.3934/mbe.2019002
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Research article
Dynamics of a delay turbidostat system with contois growth rate
Yong Yao
2019, Volume 16, Issue 1: 56-77. doi: 10.3934/mbe.2019003
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Research article
Growth on two limiting essential resources in a self-cycling fermentor
Ting-Hao Hsu,  Tyler Meadows,  LinWang,  Gail S. K. Wolkowicz
2019, Volume 16, Issue 1: 78-100. doi: 10.3934/mbe.2019004
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Research article
Stoichiometric food chain model on discrete time scale
Ming Chen,  Meng Fan,  Congbo Xie,  Angela Peace,  Hao Wang
2019, Volume 16, Issue 1: 101-118. doi: 10.3934/mbe.2019005
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Research article
Dynamics of a periodic stoichiometric model with application in predicting and controlling algal bloom in Bohai Sea off China
Da Song,  Meng Fan,  Ming Chen,  Hao Wang
2019, Volume 16, Issue 1: 119-138. doi: 10.3934/mbe.2019006
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Research article
Strong cooperation or tragedy of the commons in the chemostat
Patrick De Leenheer,  Martin Schuster,  Hal Smith
2019, Volume 16, Issue 1: 139-149. doi: 10.3934/mbe.2019007
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Research article
Effect of Excess Food Nutrient on Producer-Grazer Model under Stoichiometric and Toxicological Constraints
Md Nazmul Hassan,  Kelsey Thompson,  Gregory Mayer,  Angela Peace
2019, Volume 16, Issue 1: 150-167. doi: 10.3934/mbe.2019008
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Research article
A mathematical model of the Warburg Effect: Effects of cell size, shape and substrate availability on growth and metabolism in bacteria
Anshuman Swain,  William F Fagan
2019, Volume 16, Issue 1: 168-186. doi: 10.3934/mbe.2019009
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Research article
Dynamics and implications of models for intermittent androgen suppression therapy
Tin Phan,  Changhan He,  Alejandro Martinez,  Yang Kuang
2019, Volume 16, Issue 1: 187-204. doi: 10.3934/mbe.2019010
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Research article
Mathematical analysis of a chemostat system modeling the competition for light and inorganic carbon with internal storage
Fu-Yuan Tsai,  Feng-BinWang
2019, Volume 16, Issue 1: 205-221. doi: 10.3934/mbe.2019011
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Research article
Mechanistically derived spatially heterogeneous producer-grazer model subject to stoichiometric constraints
Md Masud Rana,  Chandani Dissanayake,  Lourdes Juan,  Kevin R. Long,  Angela Peace
2019, Volume 16, Issue 1: 222-233. doi: 10.3934/mbe.2019012
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Research article
Modeling nutrient and disease dynamics in a plant-pathogen system
Bruce Pell,  Amy E. Kendig,  Elizabeth T. Borer,  Yang Kuang
2019, Volume 16, Issue 1: 234-264. doi: 10.3934/mbe.2019013
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Research article
The role of interventions in the cancer evolution–an evolutionary games approach
A. Swierniak,  M. Krzeslak,  D. Borys,  M. Kimmel
2019, Volume 16, Issue 1: 265-291. doi: 10.3934/mbe.2019014
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Research article
Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses
Jiazhe Lin,  Rui Xu,  Xiaohong Tian
2019, Volume 16, Issue 1: 292-319. doi: 10.3934/mbe.2019015
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Research article
Modeling of pH regulation in tumor cells: Direct interaction between proton-coupled lactate transporters and cancer-associated carbonicanhydrase
Sandesh Athni Hiremath,  Christina Surulescu,  Somayeh Jamali,  Samantha Ames,  Joachim W. Deitmer,  Holger M. Becker
2019, Volume 16, Issue 1: 320-337. doi: 10.3934/mbe.2019016
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Research article
Population dynamic consequences of fearful prey in a spatiotemporal predator-prey system
Ranjit Kumar Upadhyay,  Swati Mishra
2019, Volume 16, Issue 1: 338-372. doi: 10.3934/mbe.2019017
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Research article
Optimal control for HIV treatment
Gordon Akudibillah,  Abhishek Pandey,  Jan Medlock
2019, Volume 16, Issue 1: 373-396. doi: 10.3934/mbe.2019018
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Research article
Dynamics of an age-structured heroin transmission model with vaccination and treatment
Xi-Chao Duan,  Xue-Zhi Li,  Maia Martcheva
2019, Volume 16, Issue 1: 397-420. doi: 10.3934/mbe.2019019
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Research article
Dynamics of the tumor-immune-virus interactions: Convergence conditions to tumor-only or tumor-free equilibrium points
Konstantin E. Starkov,  Giovana Andres Garfias
2019, Volume 16, Issue 1: 421-437. doi: 10.3934/mbe.2019020
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Research article
Numerical solution of a spatio-temporal predator-prey model with infected prey
Raimund Bürger,  Gerardo Chowell,  Elvis Gavilán,  Pep Mulet,  Luis M. Villada
2019, Volume 16, Issue 1: 438-473. doi: 10.3934/mbe.2019021
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Research article
Modelling and analysis of HFMD with the effects of vaccination, contaminated environments and quarantine in mainland China
Lei Shi,  Hongyong Zhao,  Daiyong Wu
2019, Volume 16, Issue 1: 474-500. doi: 10.3934/mbe.2019022
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Research article
Dynamics of a stoichiometric producer-grazer system with seasonal effects on light level
Lale Asik,  Jackson Kulik,  Kevin Long,  Angela Peace
2019, Volume 16, Issue 1: 501-515. doi: 10.3934/mbe.2019023
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Research article
Extinction and uniform persistence in a microbial food web with mycoloop: limiting behavior of a population model with parasitic fungi
Alexis Erich S. Almocera,  Sze-Bi Hsu,  Polly W. Sy
2019, Volume 16, Issue 1: 516-537. doi: 10.3934/mbe.2019024
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Preface
Special issue: Resource explicit population models
Yang Kuang,  Angela Peace,  Hao Wang
2019, Volume 16, Issue 1: 538-540. doi: 10.3934/mbe.2019025
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Mathematical Biosciences and Engineering
3.9
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