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Allen, Linda J. S.

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Author ID: allen.linda-j-s Recent zbMATH articles by "Allen, Linda J. S."
Published as: Allen, Linda J. S.; Allen, L. J. S.; Allen, Linda; Allen, L. J.; Allen, L.; Allen, Linda J.
Documents Indexed: 96 Publications since 1982, including 4 Books
all top 5

Co-Authors

9 single-authored
9 Allen, Edward James
6 Martin, Clyde Franklin
5 McCormack, Robert K.
4 Jonsson, Colleen B.
4 van den Driessche, Pauline
4 Wesley, Curtis L.
3 Ackleh, Azmy S.
3 Jones, Marvin A.
3 Kesinger, Jacob C.
3 Kirupaharan, Nadarajah
3 Nevai, Andrew L.
3 Wang, Xueying
2 Bai, Fan
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 Jang, Sophia R.-J.
2 Jeger, Michael J.
2 Lahodny, Glenn E. jun.
2 Langlais, Michel R.
2 Lewis, Truman
2 Nandi, Aadrita
2 Nipa, Kaniz Fatema
2 Owen, Robert D.
2 Stamp, Mark
2 Strauss, Monty J.
2 Vidurupola, Sukhitha W.
1 Aavani, Pooya
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 Edholm, Christina J.
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 Ivanek, Renata
1 Koch, David
1 Kocic, Vlajko Lj.
1 Lenhart, Suzanne M.
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 Paige, Robert L.
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 Saucedo, Omar
1 Schurz, Henri
1 Schwartz, Elissa J.
1 Shakiba, Nika
1 Shawn Hutchinson, J. M.
1 Smith, Hal Leslie
1 Stamp, M. S.
1 Strauss, Richard E.
1 Sun, T. Anthony
1 Swihart, Robert K.
1 Wilson, Sherri M.
1 Xu, Dashun
1 Xu, Yaji

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,314 times in 933 Documents Cited by Year
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Zbl 1146.92028
Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L.
150
2008
An introduction to stochastic processes with applications to biology. Zbl 1205.60001
Allen, Linda J. S.
97
2003
Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024
Allen, Linda J. S.; Burgin, Amy M.
84
2000
Asymptotic profiles of the steady states for an SIS epidemic patch model. Zbl 1121.92054
Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L.
75
2007
Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022
Allen, Linda J. S.
70
1994
The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032
Allen, Linda J. S.; van den Driessche, P.
59
2008
An introduction to stochastic epidemic models. Zbl 1206.92022
Allen, Linda J. S.
57
2008
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
55
1983
Persistence, extinction, and critical patch number for island populations. Zbl 0603.92019
Allen, Linda J. S.
44
1987
Construction of equivalent stochastic differential equation models. Zbl 1137.60026
Allen, Edward J.; Allen, Linda J. S.; Arciniega, Armando; Greenwood, Priscilla E.
39
2008
A comparison of three different stochastic population models with regard to persistence time. Zbl 1105.92023
Allen, Linda J. S.; Allen, Edward J.
29
2003
Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size. Zbl 1023.92022
Ackleh, Azmy S.; Allen, Linda J. S.
28
2003
Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047
Allen, L. J. S.; van den Driessche, P.
27
2013
The dynamics of two viral infections in a single host population with applications to hantavirus. Zbl 1033.92029
Allen, Linda J. S.; Langlais, Michel; Phillips, Carleton J.
24
2003
An introduction to stochastic processes with applications to biology. 2nd ed. Zbl 1263.92001
Allen, Linda J. S.
22
2011
Population extinction in discrete-time stochastic population models with an Allee effect. Zbl 1064.92036
Allen, Linda J. S.; Fagan, Jesse F.; Högnäs, Göran; Fagerholm, Henrik
21
2005
Stochastic models for virus and immune system dynamics. Zbl 1244.92043
Yuan, Yuan; Allen, Linda J. S.
21
2011
Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion. Zbl 1124.92046
Ackleh, Azmy S.; Allen, Linda J. S.; Carter, Jacoby
19
2007
Persistence and extinction in Lotka-Volterra reaction-diffusion equations. Zbl 0522.92021
Allen, Linda J. S.
19
1983
The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287
Wesley, Curtis L.; Allen, Linda J. S.
18
2009
Population persistence and extinction in a discrete-time, stage-structured epidemic model. Zbl 1067.92052
Emmert, Keith E.; Allen, Linda J. S.
17
2004
Spatial patterns in a discrete-time SIS patch model. Zbl 1162.92033
Allen, L. J. S.; Lou, Y.; Nevai, A. L.
16
2009
A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. Zbl 1071.92032
Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri
16
2005
Probability of a disease outbreak in stochastic multipatch epidemic models. Zbl 1272.92049
Lahodny, Glenn E. jun.; Allen, Linda J. S.
16
2013
Discrete-time deterministic and stochastic models for the spread of rabies. Zbl 1017.92027
Allen, Linda J. S.; Flores, David A.; Ratnayake, Ruwan K.; Herbold, John R.
15
2002
Discrete May-Leonard competition models. I. Zbl 1047.92049
Roeger, Lih-Ing W.; Allen, Linda J. S.
15
2004
Mathematical models for hantavirus infection in rodents. Zbl 1334.92387
Allen, Linda J. S.; McCormack, Robert K.; Jonsson, Colleen B.
15
2006
Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022
McCormack, Robert K.; Allen, Linda J. S.
12
2007
Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality. Zbl 1080.34034
Ackleh, Azmy S.; Allen, Linda J. S.
12
2005
Dispersal and competition models for plants. Zbl 0842.92026
Allen, Edward J.; Allen, Linda J. S.; Gilliam, Xiaoning
12
1996
Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028
Allen, Linda J. S.; van den Driessche, P.
10
2006
Population extinction and quasi-stationary behavior in stochastic density-dependent structured models. Zbl 1323.92153
Block, Garry L.; Allen, Linda J. S.
10
2000
A discrete-time model with vaccination for a measles epidemic. Zbl 0728.92023
Allen, L. J. S.; Jones, M. A.; Martin, C. F.
10
1991
A density-dependent Leslie matrix model. Zbl 0675.92015
Allen, Linda J. S.
10
1989
Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality. Zbl 1334.92408
Kirupaharan, Nadarajah; Allen, Linda J. S.
10
2004
Population extinction in deterministic and stochastic discrete-time epidemic models with periodic coefficients with applications to amphibian populations. Zbl 1157.92323
Emmert, 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 1302.92137
Wang, Xueying; Gautam, Raju; Pinedo, Pablo J.; Allen, Linda J. S.; Ivanek, Renata
7
2014
Environmentally driven epizootics. Zbl 0835.92027
Allen, Linda J. S.; Cormier, Phyllis J.
7
1996
Mathematical analysis of a model for a plant-herbivore system. Zbl 0771.92016
Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J.
7
1993
Stochastic modeling of phytoplankton allelopathy. Zbl 1427.92100
Mandal, Partha Sarathi; Allen, Linda J. S.; Banerjee, Malay
7
2014
Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388
Allen, Linda J. S.; Lahodny, Glenn E. jun.
7
2012
Comparison of Markov chain and stochastic differential equation population models under higher-order moment closure approximations. Zbl 1217.60065
Ekanayake, Amy J.; Allen, Linda J. S.
7
2010
Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. Zbl 1364.92037
Allen, Linda J. S.; Schwartz, Elissa J.
7
2015
Stochastic population and epidemic models. Persistence and extinction. Zbl 1355.60003
Allen, Linda J. S.
6
2015
Asymptotic dynamics of deterministic and stochastic epidemic models with multiple pathogens. Zbl 1080.34033
Allen, Linda J. S.; Kirupaharan, Nadarajah
6
2005
A simple food chain with a growth inhibiting nutrient. Zbl 0980.92038
Jang, Sophia R.-J.; Allen, Linda J. S.
6
1999
Disease emergence in deterministic and stochastic models for host and pathogen. Zbl 1073.92047
McCormack, Robert K.; Allen, Linda J. S.
6
2005
Integrodifference equations applied to plant dispersal, competition, and control. Zbl 0915.45004
Allen, Linda J. S.; Allen, Edward J.; Atkinson, David N.
6
1999
Impact of variability in stochastic models of bacteria-phage dynamics applicable to phage therapy. Zbl 1316.60116
Vidurupola, Sukhitha W.; Allen, Linda J. S.
6
2014
Disease emergence in multi-host epidemic models. Zbl 1115.92050
McCormack, Robert K.; Allen, Linda J. S.
5
2007
Stochastic SIS and SIR multihost epidemic models. Zbl 1129.92058
McCormack, Robert K.; Allen, Linda J. S.
5
2006
SIS epidemic models with multiple pathogen strains. Zbl 1047.92041
Allen, Linda J. S.; Kirupaharan, Nadarajah; Wilson, Sherri M.
5
2004
Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission. Zbl 1186.37106
Wesley, Curtis L.; Allen, Linda J. S.; Langlais, Michel
5
2010
An analysis of the transmission of chlamydia in a closed population. Zbl 0862.39004
Martin, C. F.; Allen, L. J. S.; Stamp, M. S.
4
1996
The impact of long-range dispersal on the rate of spread in population and epidemic models. Zbl 1025.92013
Allen, Linda J. S.; Ernest, Ralynn K.
4
2002
The impact of environmental variation on hantavirus infection in rodents. Zbl 1181.92070
Allen, Linda J. S.; Allen, Edward J.; Jonsson, Colleen B.
3
2006
Resonance in Beverton-Holt population models with periodic and random coefficients. Zbl 1295.39012
Allen, L. J. S.; Kocic, V. L.
3
2014
A mathematical model for weed dispersal and control. Zbl 0856.92024
Allen, L. J. S.; Allen, E. J.; Ponweera, S.
3
1996
Basic stochastic models for viral infection within a host. Zbl 1260.92082
Vidurupola, Sukhitha W.; Allen, Linda J. S.
3
2012
Development and analysis of a mathematical model for a plant-herbivore system. Zbl 0841.92026
Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J.
2
1996
A habitat-based model for the spread of hantavirus between reservoir and spillover species. Zbl 1402.92382
Allen, 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.
2
2009
Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552
Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S.
2
2019
The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection. Zbl 07187226
Aavani, Pooya; Allen, Linda J. S.
2
2019
Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Zbl 1085.65001
Allen, Linda J. S. (ed.); Aulbach, Bernd (ed.); Elaydi, Saber (ed.); Sacker, Robert (ed.)
1
2005
Deterministic and stochastic SIR epidemic models with power function transmission and recovery rates. Zbl 1335.92088
Allen, L. J. S.; Allen, E. J.
1
2014
Persistence in an age-structured population for a patch-type environment. Zbl 0850.92063
Allen, Linda J. S.; Moulton, Michael P.; Rose, Francis L.
1
1990
Urn model simulations of a sexually transmitted disease epidemic. Zbl 0827.92024
Martin, Clyde F.; Allen, Linda J. S.; Stamp, Mark
1
1995
Discrete-time models for gene frequencies and population densities in plant pathosystems. Zbl 1042.39514
Kesinger, Jacob C.; Allen, Linda J. S.; Strauss, Richard E.
1
2001
Selection in population genetics models of host-pathogen systems. Zbl 1057.92042
Allen, Linda J. S.; Kesinger, Jacob C.
1
2002
A mathematical analysis and simulation of a localized measles epidemic. Zbl 0701.92018
Allen, Linda; Lewis, Truman; Martin, Clyde F.; Stamp, Mark
1
1990
Stochastic models for competing species with a shared pathogen. Zbl 1259.60087
Allen, Linda J. S.; Bokil, Vrushali A.
1
2012
Stability and permanence in gender- and stage-structured models for the boreal toad. Zbl 1403.92257
Mallawaarachchi, D. K.; Allen, Linda J. S.; Carey, Cynthia
1
2011
The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393
Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S.
1
2019
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120
Allen, E. J.; Allen, L. J. S.; Smith, H. L.
1
2020
Searching for superspreaders: identifying epidemic patterns associated with superspreading events in stochastic models. Zbl 1421.92031
Edholm, Christina J.; Emerenini, Blessing O.; Murillo, Anarina L.; Saucedo, Omar; Shakiba, Nika; Wang, Xueying; Allen, Linda J. S.; Peace, Angela
1
2018
Probability of a major infection in a stochastic within-host model with multiple stages. Zbl 1407.92124
Bai, Fan; Allen, Linda J. S.
1
2019
The phase and inversion problem for multiply scattered electrons. Zbl 1159.78303
Allen, L. J.; Martin, A. V.
1
2008
The evolution of plant virus transmission pathways. Zbl 1343.92480
Hamelin, Frédéric M.; Allen, Linda J. S.; Prendeville, Holly R.; Hajimorad, M. Reza; Jeger, Michael J.
1
2016
Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal. Zbl 1347.92076
Allen, Linda; Hebert, Mary P.
1
2016
A discrete-time rodent-hantavirus model structured by infection and developmental stages. Zbl 1177.92023
Wesley, Curtis L.; Allen, Linda J. S.; Jonsson, Colleen B.; Chu, Yong-Kyu; Owen, Robert D.
1
2009
Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318
Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S.
1
2007
On real-valued SDE and nonnegative-valued SDE population models with demographic variability. Zbl 1448.60120
Allen, E. J.; Allen, L. J. S.; Smith, H. L.
1
2020
Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552
Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S.
2
2019
The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection. Zbl 07187226
Aavani, Pooya; Allen, Linda J. S.
2
2019
The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393
Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S.
1
2019
Probability of a major infection in a stochastic within-host model with multiple stages. Zbl 1407.92124
Bai, Fan; Allen, Linda J. S.
1
2019
Searching for superspreaders: identifying epidemic patterns associated with superspreading events in stochastic models. Zbl 1421.92031
Edholm, Christina J.; Emerenini, Blessing O.; Murillo, Anarina L.; Saucedo, Omar; Shakiba, Nika; Wang, Xueying; Allen, Linda J. S.; Peace, Angela
1
2018
The evolution of plant virus transmission pathways. Zbl 1343.92480
Hamelin, Frédéric M.; Allen, Linda J. S.; Prendeville, Holly R.; Hajimorad, M. Reza; Jeger, Michael J.
1
2016
Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal. Zbl 1347.92076
Allen, Linda; Hebert, Mary P.
1
2016
Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. Zbl 1364.92037
Allen, Linda J. S.; Schwartz, Elissa J.
7
2015
Stochastic population and epidemic models. Persistence and extinction. Zbl 1355.60003
Allen, Linda J. S.
6
2015
A stochastic model for transmission, extinction and outbreak of Escherichia coli O157:H7 in cattle as affected by ambient temperature and cleaning practices. Zbl 1302.92137
Wang, Xueying; Gautam, Raju; Pinedo, Pablo J.; Allen, Linda J. S.; Ivanek, Renata
7
2014
Stochastic modeling of phytoplankton allelopathy. Zbl 1427.92100
Mandal, Partha Sarathi; Allen, Linda J. S.; Banerjee, Malay
7
2014
Impact of variability in stochastic models of bacteria-phage dynamics applicable to phage therapy. Zbl 1316.60116
Vidurupola, Sukhitha W.; Allen, Linda J. S.
6
2014
Resonance in Beverton-Holt population models with periodic and random coefficients. Zbl 1295.39012
Allen, L. J. S.; Kocic, V. L.
3
2014
Deterministic and stochastic SIR epidemic models with power function transmission and recovery rates. Zbl 1335.92088
Allen, L. J. S.; Allen, E. J.
1
2014
Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models. Zbl 1279.92047
Allen, L. J. S.; van den Driessche, P.
27
2013
Probability of a disease outbreak in stochastic multipatch epidemic models. Zbl 1272.92049
Lahodny, Glenn E. jun.; Allen, Linda J. S.
16
2013
Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388
Allen, Linda J. S.; Lahodny, Glenn E. jun.
7
2012
Basic stochastic models for viral infection within a host. Zbl 1260.92082
Vidurupola, Sukhitha W.; Allen, Linda J. S.
3
2012
Stochastic models for competing species with a shared pathogen. Zbl 1259.60087
Allen, Linda J. S.; Bokil, Vrushali A.
1
2012
An introduction to stochastic processes with applications to biology. 2nd ed. Zbl 1263.92001
Allen, Linda J. S.
22
2011
Stochastic models for virus and immune system dynamics. Zbl 1244.92043
Yuan, Yuan; Allen, Linda J. S.
21
2011
Stability and permanence in gender- and stage-structured models for the boreal toad. Zbl 1403.92257
Mallawaarachchi, 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 1217.60065
Ekanayake, 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 1186.37106
Wesley, Curtis L.; Allen, Linda J. S.; Langlais, Michel
5
2010
The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287
Wesley, Curtis L.; Allen, Linda J. S.
18
2009
Spatial patterns in a discrete-time SIS patch model. Zbl 1162.92033
Allen, L. J. S.; Lou, Y.; Nevai, A. L.
16
2009
A habitat-based model for the spread of hantavirus between reservoir and spillover species. Zbl 1402.92382
Allen, 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.
2
2009
A discrete-time rodent-hantavirus model structured by infection and developmental stages. Zbl 1177.92023
Wesley, Curtis L.; Allen, Linda J. S.; Jonsson, Colleen B.; Chu, Yong-Kyu; Owen, Robert D.
1
2009
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. Zbl 1146.92028
Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L.
150
2008
The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032
Allen, Linda J. S.; van den Driessche, P.
59
2008
An introduction to stochastic epidemic models. Zbl 1206.92022
Allen, Linda J. S.
57
2008
Construction of equivalent stochastic differential equation models. Zbl 1137.60026
Allen, Edward J.; Allen, Linda J. S.; Arciniega, Armando; Greenwood, Priscilla E.
39
2008
The phase and inversion problem for multiply scattered electrons. Zbl 1159.78303
Allen, L. J.; Martin, A. V.
1
2008
Asymptotic profiles of the steady states for an SIS epidemic patch model. Zbl 1121.92054
Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L.
75
2007
Establishing a beachhead: a stochastic population model with an Allee effect applied to species invasion. Zbl 1124.92046
Ackleh, Azmy S.; Allen, Linda J. S.; Carter, Jacoby
19
2007
Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022
McCormack, Robert K.; Allen, Linda J. S.
12
2007
Disease emergence in multi-host epidemic models. Zbl 1115.92050
McCormack, Robert K.; Allen, Linda J. S.
5
2007
Stochastic model of an influenza epidemic with drug resistance. Zbl 1451.92318
Xu, Yaji; Allen, Linda J. S.; Perelson, Alan S.
1
2007
Mathematical models for hantavirus infection in rodents. Zbl 1334.92387
Allen, Linda J. S.; McCormack, Robert K.; Jonsson, Colleen B.
15
2006
Stochastic epidemic models with a backward bifurcation. Zbl 1092.92028
Allen, Linda J. S.; van den Driessche, P.
10
2006
Population extinction in deterministic and stochastic discrete-time epidemic models with periodic coefficients with applications to amphibian populations. Zbl 1157.92323
Emmert, Keith E.; Allen, Linda J. S.
9
2006
Stochastic SIS and SIR multihost epidemic models. Zbl 1129.92058
McCormack, Robert K.; Allen, Linda J. S.
5
2006
The impact of environmental variation on hantavirus infection in rodents. Zbl 1181.92070
Allen, Linda J. S.; Allen, Edward J.; Jonsson, Colleen B.
3
2006
Population extinction in discrete-time stochastic population models with an Allee effect. Zbl 1064.92036
Allen, Linda J. S.; Fagan, Jesse F.; Högnäs, Göran; Fagerholm, Henrik
21
2005
A comparison of persistence-time estimation for discrete and continuous stochastic population models that include demographic and environmental variability. Zbl 1071.92032
Allen, Edward J.; Allen, Linda J. S.; Schurz, Henri
16
2005
Competitive exclusion in SIS and SIR epidemic models with total cross immunity and density-dependent host mortality. Zbl 1080.34034
Ackleh, Azmy S.; Allen, Linda J. S.
12
2005
Asymptotic dynamics of deterministic and stochastic epidemic models with multiple pathogens. Zbl 1080.34033
Allen, Linda J. S.; Kirupaharan, Nadarajah
6
2005
Disease emergence in deterministic and stochastic models for host and pathogen. Zbl 1073.92047
McCormack, 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
Allen, Linda J. S.; Aulbach, Bernd; Elaydi, Saber; Sacker, Robert
1
2005
Population persistence and extinction in a discrete-time, stage-structured epidemic model. Zbl 1067.92052
Emmert, Keith E.; Allen, Linda J. S.
17
2004
Discrete May-Leonard competition models. I. Zbl 1047.92049
Roeger, Lih-Ing W.; Allen, Linda J. S.
15
2004
Coexistence of multiple pathogen strains in stochastic epidemic models with density-dependent mortality. Zbl 1334.92408
Kirupaharan, Nadarajah; Allen, Linda J. S.
10
2004
SIS epidemic models with multiple pathogen strains. Zbl 1047.92041
Allen, Linda J. S.; Kirupaharan, Nadarajah; Wilson, Sherri M.
5
2004
An introduction to stochastic processes with applications to biology. Zbl 1205.60001
Allen, Linda J. S.
97
2003
A comparison of three different stochastic population models with regard to persistence time. Zbl 1105.92023
Allen, Linda J. S.; Allen, Edward J.
29
2003
Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size. Zbl 1023.92022
Ackleh, Azmy S.; Allen, Linda J. S.
28
2003
The dynamics of two viral infections in a single host population with applications to hantavirus. Zbl 1033.92029
Allen, Linda J. S.; Langlais, Michel; Phillips, Carleton J.
24
2003
Discrete-time deterministic and stochastic models for the spread of rabies. Zbl 1017.92027
Allen, Linda J. S.; Flores, David A.; Ratnayake, Ruwan K.; Herbold, John R.
15
2002
The impact of long-range dispersal on the rate of spread in population and epidemic models. Zbl 1025.92013
Allen, Linda J. S.; Ernest, Ralynn K.
4
2002
Selection in population genetics models of host-pathogen systems. Zbl 1057.92042
Allen, Linda J. S.; Kesinger, Jacob C.
1
2002
Discrete-time models for gene frequencies and population densities in plant pathosystems. Zbl 1042.39514
Kesinger, Jacob C.; Allen, Linda J. S.; Strauss, Richard E.
1
2001
Comparison of deterministic and stochastic SIS and SIR models in discrete time. Zbl 0978.92024
Allen, Linda J. S.; Burgin, Amy M.
84
2000
Population extinction and quasi-stationary behavior in stochastic density-dependent structured models. Zbl 1323.92153
Block, Garry L.; Allen, Linda J. S.
10
2000
A simple food chain with a growth inhibiting nutrient. Zbl 0980.92038
Jang, Sophia R.-J.; Allen, Linda J. S.
6
1999
Integrodifference equations applied to plant dispersal, competition, and control. Zbl 0915.45004
Allen, Linda J. S.; Allen, Edward J.; Atkinson, David N.
6
1999
Dispersal and competition models for plants. Zbl 0842.92026
Allen, Edward J.; Allen, Linda J. S.; Gilliam, Xiaoning
12
1996
Environmentally driven epizootics. Zbl 0835.92027
Allen, Linda J. S.; Cormier, Phyllis J.
7
1996
An analysis of the transmission of chlamydia in a closed population. Zbl 0862.39004
Martin, C. F.; Allen, L. J. S.; Stamp, M. S.
4
1996
A mathematical model for weed dispersal and control. Zbl 0856.92024
Allen, L. J. S.; Allen, E. J.; Ponweera, S.
3
1996
Development and analysis of a mathematical model for a plant-herbivore system. Zbl 0841.92026
Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J.
2
1996
Urn model simulations of a sexually transmitted disease epidemic. Zbl 0827.92024
Martin, Clyde F.; Allen, Linda J. S.; Stamp, Mark
1
1995
Some discrete-time SI, SIR, and SIS epidemic models. Zbl 0807.92022
Allen, Linda J. S.
70
1994
Mathematical analysis of a model for a plant-herbivore system. Zbl 0771.92016
Allen, Linda J. S.; Hannigan, Mary K.; Strauss, Monty J.
7
1993
A discrete-time model with vaccination for a measles epidemic. Zbl 0728.92023
Allen, L. J. S.; Jones, M. A.; Martin, C. F.
10
1991
Persistence in an age-structured population for a patch-type environment. Zbl 0850.92063
Allen, Linda J. S.; Moulton, Michael P.; Rose, Francis L.
1
1990
A mathematical analysis and simulation of a localized measles epidemic. Zbl 0701.92018
Allen, Linda; Lewis, Truman; Martin, Clyde F.; Stamp, Mark
1
1990
A density-dependent Leslie matrix model. Zbl 0675.92015
Allen, Linda J. S.
10
1989
Persistence, extinction, and critical patch number for island populations. Zbl 0603.92019
Allen, Linda J. S.
44
1987
Persistence and extinction in single-species reaction-diffusion models. Zbl 0543.92020
Allen, Linda J. S.
55
1983
Persistence and extinction in Lotka-Volterra reaction-diffusion equations. Zbl 0522.92021
Allen, Linda J. S.
19
1983
all top 5

Cited by 1,437 Authors

44 Allen, Linda J. S.
26 Teng, Zhi-dong
17 Allen, Edward James
17 Lin, Zhigui
17 Yakubu, Abdul-Aziz
16 Jang, Sophia R.-J.
14 Takeuchi, Yasuhiro
14 Wang, Weiming
13 Kang, Yun
13 Ruan, Shigui
12 Cai, Yongli
12 Jiang, Daqing
12 Wu, YiXiang
11 van den Driessche, Pauline
10 Ackleh, Azmy S.
10 Chen, Lansun
10 Cui, Jingan
10 Jin, Zhen
9 Cui, Renhao
9 Peng, Rui
9 Wang, Jinliang
9 Webb, Glenn Francis
8 Artalejo, Jesus R.
8 Bashkirtseva, Irina Adol’fovna
8 Jiang, Jifa
8 Lei, Chengxia
8 Wang, Xueying
8 Zhu, Min
7 Castillo-Chavez, Carlos
7 Coll, Carmen
7 Ge, Jing
7 Ghosh, Mini
7 Hayat, Tasawar
7 Kuniya, Toshikazu
7 Li, Wan-Tong
7 Niu, Lei
7 Qiu, Zhipeng
7 Sánchez, Elena
7 Zhang, Long
6 Banerjee, Malay
6 Jiao, Jianjun
6 Liu, Meng
6 Martcheva, Maia
6 Ryashko, Lev Borisovich
6 Salceanu, Paul Leonard
6 Thieme, Horst R.
6 Xiao, Yanni
6 Yin, Jingxue
6 Zhang, Tailei
6 Zhou, Yicang
5 Cai, Shaohong
5 Cao, Hui
5 Debbasch, Fabrice
5 Elaydi, Saber Nasr
5 Feng, Zhaosheng
5 Gao, Daozhou
5 Greenhalgh, David
5 Gyllenberg, Mats
5 Jin, Chunhua
5 Lahrouz, Aadil
5 Li, Huicong
5 Lopez-Herrero, Maria Jesus
5 Lou, Yuan
5 Magal, Pierre
5 Martin, Clyde Franklin
5 Settati, Adel
5 Shi, Junping
5 Tang, Sanyi
5 Wang, Wendi
5 Wu, Jianhong
4 Al-saedi, Ahmed Eid Salem
4 Amador, Julia
4 Baglama, James
4 Banks, Harvey Thomas
4 Bravo de la Parra, Rafael
4 Chevalier, Claire
4 Chow, Yunshyong
4 Deng, Keng
4 Din, Qamar
4 Feng, Zhilan
4 Gómez-Corral, Antonio
4 Hu, Zengyun
4 Li, Xuezhi
4 Liu, Qun
4 Mao, Xuerong
4 Meng, Xinzhu
4 O’Regan, Donal
4 Rachik, Mostafa
4 Sacker, Robert J.
4 Sanz, Luis
4 Schreiber, Sebastian J.
4 Shu, Hongying
4 Shuai, Zhisheng
4 Smith, Hal Leslie
4 Vadillo, Fernando
4 Wang, Zhen
4 Wang, Zhi Cheng
4 Wu, Qingchu
4 Yang, Junyuan
3 Assas, Laila M. B.
...and 1,337 more Authors
all top 5

Cited in 151 Serials

63 Mathematical Biosciences
51 Bulletin of Mathematical Biology
49 Discrete and Continuous Dynamical Systems. Series B
47 Journal of Mathematical Biology
47 Applied Mathematics and Computation
47 Journal of Biological Dynamics
39 Journal of Theoretical Biology
35 Journal of Difference Equations and Applications
33 Mathematical Biosciences and Engineering
30 Journal of Mathematical Analysis and Applications
27 Nonlinear Analysis. Real World Applications
27 Advances in Difference Equations
25 Stochastic Analysis and Applications
20 Journal of Differential Equations
16 International Journal of Biomathematics
15 Discrete Dynamics in Nature and Society
14 Applied Mathematical Modelling
12 Computers & Mathematics with Applications
12 Applied Mathematics Letters
11 SIAM Journal on Applied Mathematics
11 Journal of Biological Systems
10 Mathematical and Computer Modelling
10 Communications in Nonlinear Science and Numerical Simulation
9 Mathematical Methods in the Applied Sciences
9 Chaos, Solitons and Fractals
8 Journal of Computational and Applied Mathematics
8 Theoretical Population Biology
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Acta Applicandae Mathematicae
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Abstract and Applied Analysis
6 Journal of Applied Mathematics and Computing
5 Journal of the Franklin Institute
5 Physica A
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Journal of Dynamics and Differential Equations
5 Complexity
5 Chaos
5 Mathematical Modelling of Natural Phenomena
4 Journal of Applied Probability
4 International Journal of Computer Mathematics
4 Discrete and Continuous Dynamical Systems
4 Natural Resource Modeling
3 Modern Physics Letters B
3 Applicable Analysis
3 Journal of Statistical Physics
3 Applied Mathematics and Optimization
3 Mathematics and Computers in Simulation
3 European Journal of Operational Research
3 Journal of Nonlinear Science
3 Calculus of Variations and Partial Differential Equations
3 Differential Equations and Dynamical Systems
3 Nonlinear Dynamics
3 Methodology and Computing in Applied Probability
3 Communications on Pure and Applied Analysis
2 Journal of Mathematical Physics
2 Nonlinearity
2 Physics Reports
2 Biometrical Journal
2 Kybernetika
2 Statistics & Probability Letters
2 Physica D
2 Acta Mathematicae Applicatae Sinica. English Series
2 Neural Computation
2 Japan Journal of Industrial and Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Journal of Mathematical Chemistry
2 International Journal of Applied Mathematics and Computer Science
2 Journal of Applied Mathematics
2 Advances in Complex Systems
2 Stochastics and Dynamics
2 Journal of Statistical Theory and Practice
2 Nonlinear Analysis. Hybrid Systems
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 Afrika Matematika
2 Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Inverse Problems
1 Linear and Multilinear Algebra
1 Metrika
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Biometrics
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Mathematical Economics
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Ricerche di Matematica
1 Optimal Control Applications & Methods
...and 51 more Serials
all top 5

Cited in 37 Fields

823 Biology and other natural sciences (92-XX)
226 Probability theory and stochastic processes (60-XX)
212 Ordinary differential equations (34-XX)
191 Partial differential equations (35-XX)
140 Dynamical systems and ergodic theory (37-XX)
98 Difference and functional equations (39-XX)
65 Numerical analysis (65-XX)
39 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Systems theory; control (93-XX)
17 Statistics (62-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Operations research, mathematical programming (90-XX)
10 Operator theory (47-XX)
9 Integral equations (45-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Combinatorics (05-XX)
6 Computer science (68-XX)
4 Functional analysis (46-XX)
4 Mechanics of deformable solids (74-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Real functions (26-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-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 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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