-
3
-
-
0002298459
-
Recherches mathématiques sur la loi d'accroissement de la population
-
P.F. Verhulst Recherches mathmatiques sur la loi d'accroissement de la population Mm. Acad. Roy. Bruxelles 18 1845
-
(1845)
Mém. Acad. Roy. Bruxelles
, vol.18
-
-
Verhulst, P.F.1
-
4
-
-
0002298459
-
Recherches mathématiques sur la loi d'accroissement de la population
-
P.F. Verhulst Recherches mathmatiques sur la loi d'accroissement de la population Mm. Acad. Roy. Bruxelles 20 1847
-
(1847)
Mém. Acad. Roy. Bruxelles
, vol.20
-
-
Verhulst, P.F.1
-
9
-
-
70549093325
-
Patterns of zooplankton functional response in communities with vertical heterogeneity: A model study
-
A. Morozov, and E. Arashkevic Patterns of zooplankton functional response in communities with vertical heterogeneity: A model study Math. Model. Nat. Phenom. 3 3 2008 131 148
-
(2008)
Math. Model. Nat. Phenom.
, vol.3
, Issue.3
, pp. 131-148
-
-
Morozov, A.1
Arashkevic, E.2
-
10
-
-
77953683240
-
Enrichment paradox induced by spatial heterogeneity in a phytoplankton-zooplankton system
-
J.-C. Poggiale, M. Gauduchon, and P. Auger Enrichment paradox induced by spatial heterogeneity in a phytoplanktonzooplankton system Math. Model. Nat. Phenom. 3 3 2008 87 102
-
(2008)
Math. Model. Nat. Phenom.
, vol.3
, Issue.3
, pp. 87-102
-
-
Poggiale, J.-C.1
Gauduchon, M.2
Auger, P.3
-
11
-
-
0000998185
-
A contribution to the mathematical theory of epidemics
-
W.O. Kermack, and A.G. McKendrick A contribution to the mathematical theory of epidemics Proc. R. Soc. Lond. 115 1927 700 721
-
(1927)
Proc. R. Soc. Lond.
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
12
-
-
0002701187
-
Some remarks on changing populations
-
F. Stohlmann (Ed.), New York
-
H. von Foerster Some remarks on changing populations F. Stohlmann, The Kinetics of Cellular Proliferation 1959 Grune and Stratton New York 382 407
-
(1959)
The Kinetics of Cellular Proliferation
, pp. 382-407
-
-
Von Foerster, H.1
-
13
-
-
0036846383
-
Effects of quarantine in six endemic models for infectious diseases
-
H.W. Hethcote, Z. Ma, and S. Liao Effects of quarantine in six endemic models for infectious diseases Math. Biosci. 180 2002 141 160
-
(2002)
Math. Biosci.
, vol.180
, pp. 141-160
-
-
Hethcote, H.W.1
Ma, Z.2
Liao, S.3
-
14
-
-
70450139880
-
The speed of epidemic waves in a one-dimensional lattice of SIR models
-
I. Sazonov, M. Kelbert, and M.B. Gravenor The speed of epidemic waves in a one-dimensional lattice of SIR models Math. Model. Nat. Phenom. 3 4 2008 28 47
-
(2008)
Math. Model. Nat. Phenom.
, vol.3
, Issue.4
, pp. 28-47
-
-
Sazonov, I.1
Kelbert, M.2
Gravenor, M.B.3
-
15
-
-
70450123461
-
An epidemic model with post-contact prophilaxis of distributed length II. Stability and oscillations if treatment is fully effective
-
H.R. Thieme, A. Tridane, and Y. Kuang An epidemic model with post-contact prophilaxis of distributed length II. Stability and oscillations if treatment is fully effective Math. Model. Nat. Phenom. 3 7 2008 267 293
-
(2008)
Math. Model. Nat. Phenom.
, vol.3
, Issue.7
, pp. 267-293
-
-
Thieme, H.R.1
Tridane, A.2
Kuang, Y.3
-
16
-
-
0026444580
-
Disease transmission models with density-dependent demographics
-
L.Q. Gao, and H.W. Hethcote Disease transmission models with density-dependent demographics J. Math. Biol. 30 1992 717 731
-
(1992)
J. Math. Biol.
, vol.30
, pp. 717-731
-
-
Gao, L.Q.1
Hethcote, H.W.2
-
17
-
-
0026491804
-
Dynamic models of infectious diseases as regulator of population sizes
-
J. Mena-Lorca, and H.W. Hethcote Dynamic models of infectious diseases as regulator of population sizes J. Math. Biol. 30 1992 693 716
-
(1992)
J. Math. Biol.
, vol.30
, pp. 693-716
-
-
Mena-Lorca, J.1
Hethcote, H.W.2
-
19
-
-
0026444580
-
Variations on a theme of SEI endemic models
-
M. Martelli, C.L. Cooke, E. Cumberbatch, B. Tang, H.R. Thieme (Eds.), Differential Equations and Applications to Biology and Industry 1996 World Scientific, Singapore 191-207
-
L.Q. Gao, J. Mena-Lorca, and H.W. Hethcote Variations on a theme of SEI endemic models M. Martelli, C.L. Cooke, E. Cumberbatch, B. Tang, H.R. Thieme, Differential Equations and Applications to Biology and Industry 1996 World Scientific Singapore 191 207 J. Math. Biol. 30 1992 717 731
-
(1992)
J. Math. Biol.
, vol.30
, pp. 717-731
-
-
Gao, L.Q.1
Mena-Lorca, J.2
Hethcote, H.W.3
-
20
-
-
0029012360
-
Four SEI endemic models with periodicity and separatrices
-
L.Q. Gao, J. Mena-Lorca, and H.W. Hethcote Four SEI endemic models with periodicity and separatrices Math. Biosci. 128 1995 157 184
-
(1995)
Math. Biosci.
, vol.128
, pp. 157-184
-
-
Gao, L.Q.1
Mena-Lorca, J.2
Hethcote, H.W.3
-
22
-
-
0034486891
-
The mathematics of infectious diseases
-
H.W. Hethcote The mathematics of infectious diseases SIAM Rev. 42 2000 599 653
-
(2000)
SIAM Rev.
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
23
-
-
0024781481
-
Predatorprey populations with parasitic infection
-
K.P. Hadeler, and H.I. Freedman Predatorprey populations with parasitic infection J. Math. Biol. 27 1989 609 631
-
(1989)
J. Math. Biol.
, vol.27
, pp. 609-631
-
-
Hadeler, K.P.1
Freedman, H.I.2
-
24
-
-
80055112900
-
The influence of diseases on Lotka-Volterra systems
-
Minneapolis, USA
-
E. Venturino, The influence of diseases on LotkaVolterra systems in: IMA Preprint Series, vol. 913, Minneapolis, USA, 1992.
-
(1992)
IMA Preprint Series
, vol.913
-
-
E. Venturino1
-
25
-
-
0000788763
-
Modelling the role of viral disease in recurrent phytoplankton blooms
-
E. Beltrami, and T.O. Carroll Modelling the role of viral disease in recurrent phytoplankton blooms J. Math. Biol. 32 1994 857 863
-
(1994)
J. Math. Biol.
, vol.32
, pp. 857-863
-
-
Beltrami, E.1
Carroll, T.O.2
-
26
-
-
84881150966
-
The influence of diseases on Lotka-Volterra systems
-
E. Venturino The influence of diseases on LotkaVolterra systems Rocky Mountain J. Math. 24 1994 381 402
-
(1994)
Rocky Mountain J. Math.
, vol.24
, pp. 381-402
-
-
Venturino, E.1
-
27
-
-
0033149514
-
A predator prey model with disease in the prey
-
J. Chattopadhyay, and O. Arino A predator prey model with disease in the prey Nonlinear Anal. 36 1999 747 766
-
(1999)
Nonlinear Anal.
, vol.36
, pp. 747-766
-
-
Chattopadhyay, J.1
Arino, O.2
-
28
-
-
0034816044
-
Four predator prey models with infectious diseases
-
L. Han, Z. Ma, and H.W. Hethcote Four predator prey models with infectious diseases Math. Comput. Modelling 30 2001 849 858
-
(2001)
Math. Comput. Modelling
, vol.30
, pp. 849-858
-
-
Han, L.1
Ma, Z.2
Hethcote, H.W.3
-
29
-
-
2442661729
-
Infection on prey population may act as a biological control in ratio-dependent predatorprey model
-
O. Arino, A. El Abdllaoui, J. Mikram, and J. Chattopadhyay Infection on prey population may act as a biological control in ratio-dependent predatorprey model Nonlinearity 17 2004 1101 1116
-
(2004)
Nonlinearity
, vol.17
, pp. 1101-1116
-
-
Arino, O.1
El Abdllaoui, A.2
Mikram, J.3
Chattopadhyay, J.4
-
31
-
-
4544256326
-
The role of virus infection in a simple phytoplankton zooplankton system
-
B.K. Singh, J. Chattopadhyay, and S. Sinha The role of virus infection in a simple phytoplankton zooplankton system J. Theoret. Biol. 231 2004 153 166
-
(2004)
J. Theoret. Biol.
, vol.231
, pp. 153-166
-
-
Singh, B.K.1
Chattopadhyay, J.2
Sinha, S.3
-
33
-
-
33749479525
-
The role of transmissible diseases in Holling-Tanner predatorprey model
-
M. Haque, and E. Venturino The role of transmissible diseases in HollingTanner predatorprey model Theoret. Popul. Biol. 70 2006 273 288
-
(2006)
Theoret. Popul. Biol.
, vol.70
, pp. 273-288
-
-
Haque, M.1
Venturino, E.2
-
34
-
-
35348888585
-
Ecoepidemiology 15 years later: A review
-
T. Simos (Ed.), Numerical Analysis and Applied Mathematics (Proceedings of ICNAAM 2007)
-
E. Venturino Ecoepidemiology 15 years later: A review T. Simos, Numerical Analysis and Applied Mathematics (Proceedings of ICNAAM 2007) AIP vol. 936 2007 31 34
-
(2007)
AIP
, vol.936
, pp. 31-34
-
-
Venturino, E.1
-
35
-
-
0001737855
-
Epidemics in predatorprey models: Disease among the prey
-
O. Arino, D. Axelrod, M. Kimmel, M. Langlais (Eds.), Theory of Epidemics Wuertz Publishing Ltd., Winnipeg, Canada
-
E. Venturino Epidemics in predatorprey models: Disease among the prey O. Arino, D. Axelrod, M. Kimmel, M. Langlais, Mathematical Population Dynamics: Analysis of Heterogeneity vol. 1 1995 Theory of Epidemics Wuertz Publishing Ltd. Winnipeg, Canada 381 393
-
(1995)
Mathematical Population Dynamics: Analysis of Heterogeneity
, vol.1
, pp. 381-393
-
-
Venturino, E.1
-
36
-
-
0035669003
-
The effects of diseases on competing species
-
E. Venturino The effects of diseases on competing species Math. Biosci. 174 2001 111 131
-
(2001)
Math. Biosci.
, vol.174
, pp. 111-131
-
-
Venturino, E.1
-
37
-
-
0036765813
-
Epidemics in predatorprey models: Disease in the predators
-
E. Venturino Epidemics in predatorprey models: Disease in the predators IMA J. Math. Appl. Medicine Biol. 19 2002 185 205
-
(2002)
IMA J. Math. Appl. Medicine Biol.
, vol.19
, pp. 185-205
-
-
Venturino, E.1
-
38
-
-
33847311226
-
How diseases affect symbiotic communities
-
E. Venturino How diseases affect symbiotic communities Math. Biosci. 206 2007 11 30
-
(2007)
Math. Biosci.
, vol.206
, pp. 11-30
-
-
Venturino, E.1
-
40
-
-
0025956334
-
An elementary proof of the RouthHurwitz stability criterion
-
J.J. Anagnost, and C.A. Desoer An elementary proof of the RouthHurwitz stability criterion Circuits Syst. Signal Process. 10 1991 101 114
-
(1991)
Circuits Syst. Signal Process.
, vol.10
, pp. 101-114
-
-
Anagnost, J.J.1
Desoer, C.A.2
-
42
-
-
0024474460
-
Hopf bifurcation and stable limit cycle behavior in the spread of infectious disease, with special application to fox rabies
-
J.H. Swart Hopf bifurcation and stable limit cycle behavior in the spread of infectious disease, with special application to fox rabies Math. Biosci. 95 1989 199 207
-
(1989)
Math. Biosci.
, vol.95
, pp. 199-207
-
-
Swart, J.H.1
-
43
-
-
0000497705
-
Stability in models of mutualism
-
B.S. Goh Stability in models of mutualism The American Naturalist 113 1979 261 275
-
(1979)
The American Naturalist
, vol.113
, pp. 261-275
-
-
Goh, B.S.1
|