Edit Profile (opens in new tab) Allen, Linda J. S. Co-Author Distance Author ID: allen.linda-j-s Published as: Allen, Linda J. S.; Allen, L. J. S.; Allen, Linda; Allen, L. J.; Allen, L.; Allen, Linda J. more...less Documents Indexed: 97 Publications since 1982, including 3 Books 3 Contributions as Editor Co-Authors: 107 Co-Authors with 91 Joint Publications 1,956 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Allen, Edward James 6 Jonsson, Colleen B. 6 Martin, Clyde Franklin 5 McCormack, Robert K. 4 van den Driessche, Pauline 4 Wesley, Curtis L. 3 Ackleh, Azmy S. 3 Bai, Fan 3 Edholm, Christina J. 3 Jang, Sophia R.-J. 3 Kesinger, Jacob C. 3 Kirupaharan, Nadarajah 3 Nevai, Andrew L. 3 Nipa, Kaniz Fatema 3 Wang, Xueying 2 Bokil, Vrushali A. 2 Bolker, Benjamin M. 2 Carpio, Ronaldo 2 Chu, Yong-Kyu 2 Emmert, Keith E. 2 Hamelin, Frédéric M. 2 Hannigan, Mary K. 2 Jeger, Michael J. 2 Lahodny, Glenn E. jun. 2 Langlais, Michel R. 2 Lewis, Truman 2 Nandi, Aadrita 2 Owen, Robert D. 2 Saucedo, Omar 2 Shakiba, Nika 2 Stamp, Mark 2 Strauss, Monty J. 2 Vidurupola, Sukhitha W. 1 Aavani, Pooya 1 Adams, Alison 1 Amos, Ken 1 Arciniega, Armando 1 Atkinson, David N. 1 Aulbach, Bernd 1 Banerjee, Chandrani 1 Banerjee, Malay 1 Block, Garry L. 1 Burgin, Amy M. 1 Carey, Cynthia 1 Carter, Jacoby 1 Cormier, Phyllis J. 1 Cushing, Jim M. 1 Dougherty, Owen P. 1 Ekanayake, Amy J. 1 Elaydi, Saber Nasr 1 Emerenini, Blessing O. 1 Ernest, Ralynn K. 1 Fagan, Jesse F. 1 Fagerholm, Henrik 1 Feng, Zhilan 1 Flores, David A. 1 Gautam, Raju 1 Gilliam, Xiaoning 1 Goodin, Douglas G. 1 Greenwood, Priscilla E. 1 Hajimorad, M. Reza 1 Hallam, Thomas G. 1 Hebert, Mary P. 1 Herbold, John R. 1 Hilker, Frank M. 1 Hognas, Goran 1 Huff, Krystin E. S. 1 Hwang, Karen K. L. 1 Ivanek, Renata 1 Koch, David G. 1 Kocic, Vlajko Lj. 1 Lenhart, Suzanne M. 1 Li, Jia 1 Lun, D. R. 1 Mallawaarachchi, D. K. 1 Mandal, Partha Sarathi 1 Martin, A. V. 1 Moulton, Michael P. 1 Mundel, G. 1 Murillo, Anarina L. 1 Murphy, Quiyana M. 1 Peace, Angela 1 Perelson, Alan S. 1 Phillips, Carleton J. 1 Pinedo, Pablo J. 1 Ponweera, S. 1 Prendeville, Holly R. 1 Ratnayake, Ruwan K. 1 Roeger, Lih-Ing Wu 1 Rose, Francis L. 1 Sacker, Robert J. 1 Salazar-Bravo, Jorge 1 Sawyer, Aubrey M. 1 Schurz, Henri 1 Schwartz, Elissa J. 1 Shawn Hutchinson, J. M. 1 Smith, Hal Leslie 1 Stamp, M. S. 1 Strauss, Richard E. 1 Sun, T. Anthony ...and 7 more Co-Authors all top 5 Serials 14 Mathematical Biosciences 9 Bulletin of Mathematical Biology 9 Journal of Biological Dynamics 7 Journal of Mathematical Biology 7 Journal of Difference Equations and Applications 5 Applied Mathematics and Computation 5 Mathematical Biosciences and Engineering 5 Journal of Theoretical Biology 3 Stochastic Analysis and Applications 2 Theoretical Population Biology 2 Applied Mathematical Modelling 2 Natural Resource Modeling 2 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Medicine and Biology 1 Modern Physics Letters B 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Mathematics Letters 1 SIAM Journal on Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences Institute Lecture Series. Stochastics in Biological Systems all top 5 Fields 96 Biology and other natural sciences (92-XX) 45 Probability theory and stochastic processes (60-XX) 21 Ordinary differential equations (34-XX) 17 Difference and functional equations (39-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 3 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 1,866 times in 1,334 Documents Cited by ▼ Year ▼ Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Zbl 1146.92028Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L. 254 2008 An introduction to stochastic processes with applications to biology. Zbl 1205.60001Allen, Linda J. S. 136 2003 Asymptotic profiles of the steady states for an SIS epidemic patch model. Zbl 1121.92054Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L. 108 2007 Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024Allen, Linda J. S.; Burgin, Amy M. 106 2000 Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022Allen, Linda J. S. 105 1994 An introduction to stochastic epidemic models. Zbl 1206.92022Allen, Linda J. S. 103 2008 The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032Allen, Linda J. S.; van den Driessche, P. 87 2008 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020Allen, Linda J. S. 59 1983 Construction of equivalent stochastic differential equation models. Zbl 1137.60026Allen, Edward J.; Allen, Linda J. S.; Arciniega, Armando; Greenwood, Priscilla E. 49 2008 Persistence, extinction, and critical patch number for island populations. Zbl 0603.92019Allen, Linda J. S. 46 1987 Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388Allen, Linda J. S.; Lahodny, Glenn E. jun. 38 2012 Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size. Zbl 1023.92022Ackleh, Azmy S.; Allen, Linda J. S. 38 2003 A comparison of three different stochastic population models with regard to persistence time. Zbl 1105.92023Allen, Linda J. S.; Allen, Edward J. 37 2003 Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047Allen, L. J. S.; van den Driessche, P. 36 2013 Stochastic models for virus and immune system dynamics. Zbl 1244.92043Yuan, Yuan; Allen, Linda J. S. 33 2011 The dynamics of two viral infections in a single host population with applications to hantavirus. Zbl 1033.92029Allen, Linda J. S.; Langlais, Michel; Phillips, Carleton J. 30 2003 An introduction to stochastic processes with applications to biology. 2nd ed. Zbl 1263.92001Allen, Linda J. S. 27 2011 Population extinction in discrete-time stochastic population models with an Allee effect. Zbl 1064.92036Allen, Linda J. S.; Fagan, Jesse F.; Högnäs, Göran; Fagerholm, Henrik 26 2005 Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion. Zbl 1124.92046Ackleh, Azmy S.; Allen, Linda J. S.; Carter, Jacoby 24 2007 Probability of a disease outbreak in stochastic multipatch epidemic models. Zbl 1272.92049Lahodny, Glenn E. jun.; Allen, Linda J. S. 24 2013 The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287Wesley, Curtis L.; Allen, Linda J. S. 22 2009 Spatial patterns in a discrete-time SIS patch model. Zbl 1162.92033Allen, L. J. S.; Lou, Y.; Nevai, A. L. 20 2009 Population persistence and extinction in a discrete-time, stage-structured epidemic model. Zbl 1067.92052Emmert, Keith E.; Allen, Linda J. S. 20 2004 Persistence and extinction in Lotka-Volterra reaction-diffusion equations. Zbl 0522.92021Allen, Linda J. S. 19 1983 Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022McCormack, Robert K.; Allen, Linda J. S. 18 2007 A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. Zbl 1071.92032Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri 18 2005 Mathematical models for hantavirus infection in rodents. Zbl 1334.92387Allen, Linda J. S.; McCormack, Robert K.; Jonsson, Colleen B. 17 2006 Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality. Zbl 1080.34034Ackleh, Azmy S.; Allen, Linda J. S. 16 2005 Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028Allen, Linda J. S.; van den Driessche, P. 16 2006 Discrete-time deterministic and stochastic models for the spread of rabies. Zbl 1017.92027Allen, Linda J. S.; Flores, David A.; Ratnayake, Ruwan K.; Herbold, John R. 16 2002 Discrete May-Leonard competition models. I. Zbl 1047.92049Roeger, Lih-Ing W.; Allen, Linda J. S. 15 2004 Dispersal and competition models for plants. Zbl 0842.92026Allen, Edward J.; Allen, Linda J. S.; Gilliam, Xiaoning 15 1996 Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality. Zbl 1334.92408Kirupaharan, Nadarajah; Allen, Linda J. S. 15 2004 A discrete-time model with vaccination for a measles epidemic. Zbl 0728.92023Allen, L. J. S.; Jones, M. A.; Martin, C. F. 13 1991 Population extinction and quasi-stationary behavior in stochastic density-dependent structured models. Zbl 1323.92153Block, Garry L.; Allen, Linda J. S. 12 2000 Stochastic modeling of phytoplankton allelopathy. Zbl 1427.92100Mandal, Partha Sarathi; Allen, Linda J. S.; Banerjee, Malay 12 2014 Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S. 12 2007 Stochastic population and epidemic models. Persistence and extinction. Zbl 1355.60003Allen, Linda J. S. 11 2015 Asymptotic dynamics of deterministic and stochastic epidemic models with multiple pathogens. Zbl 1080.34033Allen, Linda J. S.; Kirupaharan, Nadarajah 10 2005 A density-dependent Leslie matrix model. Zbl 0675.92015Allen, Linda J. S. 10 1989 Population extinction in deterministic and stochastic discrete-time epidemic models with periodic coefficients with applications to amphibian populations. Zbl 1157.92323Emmert, Keith E.; Allen, Linda J. S. 9 2006 A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices. Zbl 1302.92137Wang, Xueying; Gautam, Raju; Pinedo, Pablo J.; Allen, Linda J. S.; Ivanek, Renata 8 2014 Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. Zbl 1364.92037Allen, Linda J. S.; Schwartz, Elissa J. 8 2015 The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population. Zbl 1460.92214Nipa, Kaniz Fatema; Jang, Sophia R.-J.; Allen, Linda J. S. 7 2021 A spatially structured metapopulation model with patch dynamics. Zbl 1445.92257Xu, Dashun; Feng, Zhilan; Allen, Linda J. S.; Swihart, Robert K. 7 2006 Impact of variability in stochastic models of bacteria-phage dynamics applicable to phage therapy. Zbl 1316.60116Vidurupola, Sukhitha W.; Allen, Linda J. S. 7 2014 SIS epidemic models with multiple pathogen strains. Zbl 1047.92041Allen, Linda J. S.; Kirupaharan, Nadarajah; Wilson, Sherri M. 7 2004 Environmentally driven epizootics. Zbl 0835.92027Allen, Linda J. S.; Cormier, Phyllis J. 7 1996 Mathematical analysis of a model for a plant-herbivore system. Zbl 0771.92016Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J. 7 1993 Comparison of Markov chain and stochastic differential equation population models under higher-order moment closure approximations. Zbl 1217.60065Ekanayake, Amy J.; Allen, Linda J. S. 7 2010 Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S. 6 2019 Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal. Zbl 1347.92076Allen, Linda; Hebert, Mary P. 6 2016 Disease emergence in deterministic and stochastic models for host and pathogen. Zbl 1073.92047McCormack, Robert K.; Allen, Linda J. S. 6 2005 A simple food chain with a growth inhibiting nutrient. Zbl 0980.92038Jang, Sophia R.-J.; Allen, Linda J. S. 6 1999 Integrodifference equations applied to plant dispersal, competition, and control. Zbl 0915.45004Allen, Linda J. S.; Allen, Edward J.; Atkinson, David N. 6 1999 Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission. Zbl 1186.37106Wesley, Curtis L.; Allen, Linda J. S.; Langlais, Michel 6 2010 The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S. 5 2019 Stochastic SIS and SIR multihost epidemic models. Zbl 1129.92058McCormack, Robert K.; Allen, Linda J. S. 5 2006 Disease emergence in multi-host epidemic models. Zbl 1115.92050McCormack, Robert K.; Allen, Linda J. S. 5 2007 A habitat-based model for the spread of hantavirus between reservoir and spillover species. Zbl 1402.92382Allen, Linda J. S.; Wesley, Curtis L.; Owen, Robert D.; Goodin, Douglas G.; Koch, David; Jonsson, Colleen B.; Chu, Yong-Kyu; Shawn Hutchinson, J. M.; Paige, Robert L. 5 2009 A mathematical model for weed dispersal and control. Zbl 0856.92024Allen, L. J. S.; Allen, E. J.; Ponweera, S. 5 1996 The impact of long-range dispersal on the rate of spread in population and epidemic models. Zbl 1025.92013Allen, Linda J. S.; Ernest, Ralynn K. 4 2002 Basic stochastic models for viral infection within a host. Zbl 1260.92082Vidurupola, Sukhitha W.; Allen, Linda J. S. 4 2012 An analysis of the transmission of chlamydia in a closed population. Zbl 0862.39004Martin, C. F.; Allen, L. J. S.; Stamp, M. S. 4 1996 Searching for superspreaders: identifying epidemic patterns associated with superspreading events in stochastic models. Zbl 1421.92031Edholm, Christina J.; Emerenini, Blessing O.; Murillo, Anarina L.; Saucedo, Omar; Shakiba, Nika; Wang, Xueying; Allen, Linda J. S.; Peace, Angela 4 2018 The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection. Zbl 1481.92055Aavani, Pooya; Allen, Linda J. S. 4 2019 Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability. Zbl 1457.92173Nipa, Kaniz Fatema; Allen, Linda J. S. 4 2020 On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120Allen, E. J.; Allen, L. J. S.; Smith, H. L. 3 2020 Resonance in Beverton-Holt population models with periodic and random coefficients. Zbl 1295.39012Allen, L. J. S.; Kocic, V. L. 3 2014 The impact of environmental variation on hantavirus infection in rodents. Zbl 1181.92070Allen, Linda J. S.; Allen, Edward J.; Jonsson, Colleen B. 3 2006 Stochastic models for competing species with a shared pathogen. Zbl 1259.60087Allen, Linda J. S.; Bokil, Vrushali A. 3 2012 Deterministic and stochastic SIR epidemic models with power function transmission and recovery rates. Zbl 1335.92088Allen, L. J. S.; Allen, E. J. 2 2014 The evolution of plant virus transmission pathways. Zbl 1343.92480Hamelin, Frédéric M.; Allen, Linda J. S.; Prendeville, Holly R.; Hajimorad, M. Reza; Jeger, Michael J. 2 2016 Development and analysis of a mathematical model for a plant-herbivore system. Zbl 0841.92026Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J. 2 1996 A discrete-time rodent-hantavirus model structured by infection and developmental stages. Zbl 1177.92023Wesley, Curtis L.; Allen, Linda J. S.; Jonsson, Colleen B.; Chu, Yong-Kyu; Owen, Robert D. 2 2009 Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics. Zbl 1466.92167Allen, Linda J. S.; Wang, Xueying 1 2021 Discrete-time models for gene frequencies and population densities in plant pathosystems. Zbl 1042.39514Kesinger, Jacob C.; Allen, Linda J. S.; Strauss, Richard E. 1 2001 A mathematical analysis and simulation of a localized measles epidemic. Zbl 0701.92018Allen, Linda; Lewis, Truman; Martin, Clyde F.; Stamp, Mark 1 1990 The phase and inversion problem for multiply scattered electrons. Zbl 1159.78303Allen, L. J.; Martin, A. V. 1 2008 Persistence in an age-structured population for a patch-type environment. Zbl 0850.92063Allen, Linda J. S.; Moulton, Michael P.; Rose, Francis L. 1 1990 Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001 1 2005 Probability of a major infection in a stochastic within-host model with multiple stages. Zbl 1407.92124Bai, Fan; Allen, Linda J. S. 1 2019 Models of cytokine dynamics in the inflammatory response of viral zoonotic infectious diseases. Zbl 1475.92059Zhang, Wenjing; Jang, Sophia; Jonsson, Colleen B.; Allen, Linda J. S. 1 2019 Selection in population genetics models of host-pathogen systems. Zbl 1057.92042Allen, Linda J. S.; Kesinger, Jacob C. 1 2002 A model for the optimal control of a measles epidemic. Zbl 0818.92022Martin, C.; Allen, L.; Stamp, M.; Jones, M.; Carpio, R. 1 1993 Urn model simulations of a sexually transmitted disease epidemic. Zbl 0827.92024Martin, Clyde F.; Allen, Linda J. S.; Stamp, Mark 1 1995 Stability and permanence in gender- and stage-structured models for the boreal toad. Zbl 1403.92257Mallawaarachchi, D. K.; Allen, Linda J. S.; Carey, Cynthia 1 2011 Stochastic multigroup epidemic models: duration and final size. Zbl 1427.92091Nandi, Aadrita; Allen, Linda J. S. 1 2019 A hybrid epidemic model to explore stochasticity in COVID-19 dynamics. Zbl 1497.92266Hwang, Karen K. L.; Edholm, Christina J.; Saucedo, Omar; Allen, Linda J. S.; Shakiba, Nika 1 2022 A hybrid epidemic model to explore stochasticity in COVID-19 dynamics. Zbl 1497.92266Hwang, Karen K. L.; Edholm, Christina J.; Saucedo, Omar; Allen, Linda J. S.; Shakiba, Nika 1 2022 The effect of demographic and environmental variability on disease outbreak for a dengue model with a seasonally varying vector population. Zbl 1460.92214Nipa, Kaniz Fatema; Jang, Sophia R.-J.; Allen, Linda J. S. 7 2021 Stochastic models of infectious diseases in a periodic environment with application to cholera epidemics. Zbl 1466.92167Allen, Linda J. S.; Wang, Xueying 1 2021 Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability. Zbl 1457.92173Nipa, Kaniz Fatema; Allen, Linda J. S. 4 2020 On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120Allen, E. J.; Allen, L. J. S.; Smith, H. L. 3 2020 Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S. 6 2019 The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S. 5 2019 The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection. Zbl 1481.92055Aavani, Pooya; Allen, Linda J. S. 4 2019 Probability of a major infection in a stochastic within-host model with multiple stages. Zbl 1407.92124Bai, Fan; Allen, Linda J. S. 1 2019 Models of cytokine dynamics in the inflammatory response of viral zoonotic infectious diseases. Zbl 1475.92059Zhang, Wenjing; Jang, Sophia; Jonsson, Colleen B.; Allen, Linda J. S. 1 2019 Stochastic multigroup epidemic models: duration and final size. Zbl 1427.92091Nandi, Aadrita; Allen, Linda J. S. 1 2019 Searching for superspreaders: identifying epidemic patterns associated with superspreading events in stochastic models. Zbl 1421.92031Edholm, Christina J.; Emerenini, Blessing O.; Murillo, Anarina L.; Saucedo, Omar; Shakiba, Nika; Wang, Xueying; Allen, Linda J. S.; Peace, Angela 4 2018 Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal. Zbl 1347.92076Allen, Linda; Hebert, Mary P. 6 2016 The evolution of plant virus transmission pathways. Zbl 1343.92480Hamelin, Frédéric M.; Allen, Linda J. S.; Prendeville, Holly R.; Hajimorad, M. Reza; Jeger, Michael J. 2 2016 Stochastic population and epidemic models. Persistence and extinction. Zbl 1355.60003Allen, Linda J. S. 11 2015 Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. Zbl 1364.92037Allen, Linda J. S.; Schwartz, Elissa J. 8 2015 Stochastic modeling of phytoplankton allelopathy. Zbl 1427.92100Mandal, Partha Sarathi; Allen, Linda J. S.; Banerjee, Malay 12 2014 A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices. Zbl 1302.92137Wang, Xueying; Gautam, Raju; Pinedo, Pablo J.; Allen, Linda J. S.; Ivanek, Renata 8 2014 Impact of variability in stochastic models of bacteria-phage dynamics applicable to phage therapy. Zbl 1316.60116Vidurupola, Sukhitha W.; Allen, Linda J. S. 7 2014 Resonance in Beverton-Holt population models with periodic and random coefficients. Zbl 1295.39012Allen, L. J. S.; Kocic, V. L. 3 2014 Deterministic and stochastic SIR epidemic models with power function transmission and recovery rates. Zbl 1335.92088Allen, L. J. S.; Allen, E. J. 2 2014 Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047Allen, L. J. S.; van den Driessche, P. 36 2013 Probability of a disease outbreak in stochastic multipatch epidemic models. Zbl 1272.92049Lahodny, Glenn E. jun.; Allen, Linda J. S. 24 2013 Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388Allen, Linda J. S.; Lahodny, Glenn E. jun. 38 2012 Basic stochastic models for viral infection within a host. Zbl 1260.92082Vidurupola, Sukhitha W.; Allen, Linda J. S. 4 2012 Stochastic models for competing species with a shared pathogen. Zbl 1259.60087Allen, Linda J. S.; Bokil, Vrushali A. 3 2012 Stochastic models for virus and immune system dynamics. Zbl 1244.92043Yuan, Yuan; Allen, Linda J. S. 33 2011 An introduction to stochastic processes with applications to biology. 2nd ed. Zbl 1263.92001Allen, Linda J. S. 27 2011 Stability and permanence in gender- and stage-structured models for the boreal toad. Zbl 1403.92257Mallawaarachchi, D. K.; Allen, Linda J. S.; Carey, Cynthia 1 2011 Comparison of Markov chain and stochastic differential equation population models under higher-order moment closure approximations. Zbl 1217.60065Ekanayake, Amy J.; Allen, Linda J. S. 7 2010 Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission. Zbl 1186.37106Wesley, Curtis L.; Allen, Linda J. S.; Langlais, Michel 6 2010 The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287Wesley, Curtis L.; Allen, Linda J. S. 22 2009 Spatial patterns in a discrete-time SIS patch model. Zbl 1162.92033Allen, L. J. S.; Lou, Y.; Nevai, A. L. 20 2009 A habitat-based model for the spread of hantavirus between reservoir and spillover species. Zbl 1402.92382Allen, Linda J. S.; Wesley, Curtis L.; Owen, Robert D.; Goodin, Douglas G.; Koch, David; Jonsson, Colleen B.; Chu, Yong-Kyu; Shawn Hutchinson, J. M.; Paige, Robert L. 5 2009 A discrete-time rodent-hantavirus model structured by infection and developmental stages. Zbl 1177.92023Wesley, Curtis L.; Allen, Linda J. S.; Jonsson, Colleen B.; Chu, Yong-Kyu; Owen, Robert D. 2 2009 Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Zbl 1146.92028Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L. 254 2008 An introduction to stochastic epidemic models. Zbl 1206.92022Allen, Linda J. S. 103 2008 The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032Allen, Linda J. S.; van den Driessche, P. 87 2008 Construction of equivalent stochastic differential equation models. Zbl 1137.60026Allen, Edward J.; Allen, Linda J. S.; Arciniega, Armando; Greenwood, Priscilla E. 49 2008 The phase and inversion problem for multiply scattered electrons. Zbl 1159.78303Allen, L. J.; Martin, A. V. 1 2008 Asymptotic profiles of the steady states for an SIS epidemic patch model. Zbl 1121.92054Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L. 108 2007 Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion. Zbl 1124.92046Ackleh, Azmy S.; Allen, Linda J. S.; Carter, Jacoby 24 2007 Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022McCormack, Robert K.; Allen, Linda J. S. 18 2007 Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S. 12 2007 Disease emergence in multi-host epidemic models. Zbl 1115.92050McCormack, Robert K.; Allen, Linda J. S. 5 2007 Mathematical models for hantavirus infection in rodents. Zbl 1334.92387Allen, Linda J. S.; McCormack, Robert K.; Jonsson, Colleen B. 17 2006 Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028Allen, Linda J. S.; van den Driessche, P. 16 2006 Population extinction in deterministic and stochastic discrete-time epidemic models with periodic coefficients with applications to amphibian populations. Zbl 1157.92323Emmert, Keith E.; Allen, Linda J. S. 9 2006 A spatially structured metapopulation model with patch dynamics. Zbl 1445.92257Xu, Dashun; Feng, Zhilan; Allen, Linda J. S.; Swihart, Robert K. 7 2006 Stochastic SIS and SIR multihost epidemic models. Zbl 1129.92058McCormack, Robert K.; Allen, Linda J. S. 5 2006 The impact of environmental variation on hantavirus infection in rodents. Zbl 1181.92070Allen, Linda J. S.; Allen, Edward J.; Jonsson, Colleen B. 3 2006 Population extinction in discrete-time stochastic population models with an Allee effect. Zbl 1064.92036Allen, Linda J. S.; Fagan, Jesse F.; Högnäs, Göran; Fagerholm, Henrik 26 2005 A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. Zbl 1071.92032Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri 18 2005 Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality. Zbl 1080.34034Ackleh, Azmy S.; Allen, Linda J. S. 16 2005 Asymptotic dynamics of deterministic and stochastic epidemic models with multiple pathogens. Zbl 1080.34033Allen, Linda J. S.; Kirupaharan, Nadarajah 10 2005 Disease emergence in deterministic and stochastic models for host and pathogen. Zbl 1073.92047McCormack, Robert K.; Allen, Linda J. S. 6 2005 Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001 1 2005 Population persistence and extinction in a discrete-time, stage-structured epidemic model. Zbl 1067.92052Emmert, Keith E.; Allen, Linda J. S. 20 2004 Discrete May-Leonard competition models. I. Zbl 1047.92049Roeger, Lih-Ing W.; Allen, Linda J. S. 15 2004 Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality. Zbl 1334.92408Kirupaharan, Nadarajah; Allen, Linda J. S. 15 2004 SIS epidemic models with multiple pathogen strains. Zbl 1047.92041Allen, Linda J. S.; Kirupaharan, Nadarajah; Wilson, Sherri M. 7 2004 An introduction to stochastic processes with applications to biology. Zbl 1205.60001Allen, Linda J. S. 136 2003 Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size. Zbl 1023.92022Ackleh, Azmy S.; Allen, Linda J. S. 38 2003 A comparison of three different stochastic population models with regard to persistence time. Zbl 1105.92023Allen, Linda J. S.; Allen, Edward J. 37 2003 The dynamics of two viral infections in a single host population with applications to hantavirus. Zbl 1033.92029Allen, Linda J. S.; Langlais, Michel; Phillips, Carleton J. 30 2003 Discrete-time deterministic and stochastic models for the spread of rabies. Zbl 1017.92027Allen, Linda J. S.; Flores, David A.; Ratnayake, Ruwan K.; Herbold, John R. 16 2002 The impact of long-range dispersal on the rate of spread in population and epidemic models. Zbl 1025.92013Allen, Linda J. S.; Ernest, Ralynn K. 4 2002 Selection in population genetics models of host-pathogen systems. Zbl 1057.92042Allen, Linda J. S.; Kesinger, Jacob C. 1 2002 Discrete-time models for gene frequencies and population densities in plant pathosystems. Zbl 1042.39514Kesinger, Jacob C.; Allen, Linda J. S.; Strauss, Richard E. 1 2001 Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024Allen, Linda J. S.; Burgin, Amy M. 106 2000 Population extinction and quasi-stationary behavior in stochastic density-dependent structured models. Zbl 1323.92153Block, Garry L.; Allen, Linda J. S. 12 2000 A simple food chain with a growth inhibiting nutrient. Zbl 0980.92038Jang, Sophia R.-J.; Allen, Linda J. S. 6 1999 Integrodifference equations applied to plant dispersal, competition, and control. Zbl 0915.45004Allen, Linda J. S.; Allen, Edward J.; Atkinson, David N. 6 1999 Dispersal and competition models for plants. Zbl 0842.92026Allen, Edward J.; Allen, Linda J. S.; Gilliam, Xiaoning 15 1996 Environmentally driven epizootics. Zbl 0835.92027Allen, Linda J. S.; Cormier, Phyllis J. 7 1996 A mathematical model for weed dispersal and control. Zbl 0856.92024Allen, L. J. S.; Allen, E. J.; Ponweera, S. 5 1996 An analysis of the transmission of chlamydia in a closed population. Zbl 0862.39004Martin, C. F.; Allen, L. J. S.; Stamp, M. S. 4 1996 Development and analysis of a mathematical model for a plant-herbivore system. Zbl 0841.92026Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J. 2 1996 Urn model simulations of a sexually transmitted disease epidemic. Zbl 0827.92024Martin, Clyde F.; Allen, Linda J. S.; Stamp, Mark 1 1995 Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022Allen, Linda J. S. 105 1994 Mathematical analysis of a model for a plant-herbivore system. Zbl 0771.92016Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J. 7 1993 A model for the optimal control of a measles epidemic. Zbl 0818.92022Martin, C.; Allen, L.; Stamp, M.; Jones, M.; Carpio, R. 1 1993 A discrete-time model with vaccination for a measles epidemic. Zbl 0728.92023Allen, L. J. S.; Jones, M. A.; Martin, C. F. 13 1991 A mathematical analysis and simulation of a localized measles epidemic. Zbl 0701.92018Allen, Linda; Lewis, Truman; Martin, Clyde F.; Stamp, Mark 1 1990 Persistence in an age-structured population for a patch-type environment. Zbl 0850.92063Allen, Linda J. S.; Moulton, Michael P.; Rose, Francis L. 1 1990 A density-dependent Leslie matrix model. Zbl 0675.92015Allen, Linda J. S. 10 1989 Persistence, extinction, and critical patch number for island populations. Zbl 0603.92019Allen, Linda J. S. 46 1987 Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020Allen, Linda J. S. 59 1983 Persistence and extinction in Lotka-Volterra reaction-diffusion equations. Zbl 0522.92021Allen, Linda J. S. 19 1983 all cited Publications top 5 cited Publications all top 5 Cited by 2,092 Authors 48 Allen, Linda J. S. 29 Teng, Zhi-dong 27 Jiang, Daqing 22 Lin, Zhigui 21 Yakubu, Abdul-Aziz 19 Allen, Edward James 18 Jin, Zhen 17 Wang, Weiming 16 Jang, Sophia R.-J. 16 Ruan, Shigui 16 Wang, Jinliang 15 Cai, Yongli 15 Kang, Yun 15 Takeuchi, Yasuhiro 14 Hayat, Tasawar 14 van den Driessche, Pauline 13 Cui, Renhao 13 Wu, YiXiang 12 Lei, Chengxia 12 Liu, Qun 12 Lou, Yuan 11 Artalejo, Jesus R. 11 Kuniya, Toshikazu 11 Peng, Rui 11 Qiu, Zhipeng 10 Ackleh, Azmy S. 10 Al-saedi, Ahmed Eid Salem 10 Chen, Lansun 10 Cui, Jingan 10 Webb, Glenn Francis 10 Xiao, Yanni 9 Coll, Carmen 9 Martcheva, Maia 9 Sánchez, Elena 9 Wang, Hao 9 Wang, Xueying 8 Bashkirtseva, Irina Adol’fovna 8 Ge, Jing 8 Ghosh, Mini 8 Jiang, Jifa 8 Li, Wan-Tong 8 Lopez-Herrero, Maria Jesus 8 Wang, Lei 8 Wang, Zhi Cheng 7 Ahmad, Bashir 7 Banerjee, Malay 7 Castillo-Chavez, Carlos 7 Gao, Daozhou 7 Lahrouz, Aadil 7 Liu, Meng 7 Niu, Lei 7 Settati, Adel 7 Zhang, Long 7 Zhang, Tonghua 6 Cao, Hui 6 Feng, Zhaosheng 6 Jiao, Jianjun 6 Li, Huicong 6 Meng, Xinzhu 6 Ryashko, Lev Borisovich 6 Salako, Rachidi Bolaji 6 Salceanu, Paul Leonard 6 Shu, Hongying 6 Tang, Sanyi 6 Thieme, Horst R. 6 Wang, Wendi 6 Wu, Jianhong 6 Yin, Jingxue 6 Zhang, Qimin 6 Zhang, Tailei 6 Zhou, Yicang 6 Zhu, Huaiping 5 Cai, Shaohong 5 Debbasch, Fabrice 5 Din, Anwarud 5 Din, Qamar 5 Economou, Antonis 5 Elaydi, Saber Nasr 5 Feng, Tao 5 Greenhalgh, David 5 Guo, Shangjiang 5 Gyllenberg, Mats 5 Hoang, Manh Tuan 5 Jin, Chunhua 5 Kiouach, Driss 5 Lenhart, Suzanne M. 5 Li, Bo 5 Li, Xuezhi 5 Magal, Pierre 5 Mandal, Partha Sarathi 5 Martin, Clyde Franklin 5 Mcvinish, Ross S. 5 Milliken, Evan 5 Mugisha, Joseph Y. T. 5 Pollett, Philip K. 5 Raza, Ali Hassan 5 Sabbar, Yassine 5 Shi, Junping 5 Shuai, Zhisheng 5 Wanduku, Divine ...and 1,992 more Authors all top 5 Cited in 193 Serials 81 Mathematical Biosciences 67 Journal of Mathematical Biology 62 Bulletin of Mathematical Biology 61 Mathematical Biosciences and Engineering 60 Discrete and Continuous Dynamical Systems. Series B 56 Journal of Theoretical Biology 54 Applied Mathematics and Computation 51 Journal of Biological Dynamics 42 Advances in Difference Equations 38 Journal of Difference Equations and Applications 37 Journal of Mathematical Analysis and Applications 36 Nonlinear Analysis. 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Hybrid Systems 2 The Annals of Applied Statistics 2 Analysis and Mathematical Physics 2 Dynamic Games and Applications ...and 93 more Serials all top 5 Cited in 37 Fields 1,177 Biology and other natural sciences (92-XX) 332 Probability theory and stochastic processes (60-XX) 307 Partial differential equations (35-XX) 296 Ordinary differential equations (34-XX) 184 Dynamical systems and ergodic theory (37-XX) 122 Difference and functional equations (39-XX) 86 Numerical analysis (65-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Systems theory; control (93-XX) 32 Statistics (62-XX) 31 Statistical mechanics, structure of matter (82-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Operations research, mathematical programming (90-XX) 12 Combinatorics (05-XX) 12 Integral equations (45-XX) 11 Operator theory (47-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Mechanics of deformable solids (74-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year