-
3
-
-
0002337584
-
Beyond host-pathogen dynamics
-
Edited by B.T. Grenfell and A.P. Dobson, Cambridge University Press, Cambridge
-
M. Begon and R.G. Bowers, Beyond host-pathogen dynamics, In Ecology of Disease in Natural Populations, (Edited by B.T. Grenfell and A.P. Dobson), pp. 479-509, Cambridge University Press, Cambridge, (1995).
-
(1995)
Ecology of Disease in Natural Populations
, pp. 479-509
-
-
Begon, M.1
Bowers, R.G.2
-
4
-
-
0000998185
-
A contribution to the mathematical theory of epidemic
-
W.O. Kermack and A.G. McKendrick, A contribution to the mathematical theory of epidemic, Proc. R. Soc. London A115, 700-721 (1927).
-
(1927)
Proc. R. Soc. London
, vol.A115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
5
-
-
0000236256
-
Periodicity in epidemiological models
-
Edited by S.A. Levin, T.G. Hallam, and L.J. Gross, Springer, New York
-
H.W. Hethcote and S.A. Levin, Periodicity in epidemiological models, In Applied Mathematical Ecology, (Edited by S.A. Levin, T.G. Hallam, and L.J. Gross), pp. 193-211, Springer, New York, (1989).
-
(1989)
Applied Mathematical Ecology
, pp. 193-211
-
-
Hethcote, H.W.1
Levin, S.A.2
-
7
-
-
0033845428
-
An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations
-
J.M. Hyman and J. Li, An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations, Math. Biosci. 167, 65-86 (2000).
-
(2000)
Math. Biosci.
, vol.167
, pp. 65-86
-
-
Hyman, J.M.1
Li, J.2
-
8
-
-
0029014859
-
Recurrent outbreaks of childhood diseases revisited: The impact of isolation
-
Z. Feng and H.R. Thieme, Recurrent outbreaks of childhood diseases revisited: The impact of isolation, Math. Biosci. 128, 93-130 (1995).
-
(1995)
Math. Biosci.
, vol.128
, pp. 93-130
-
-
Feng, Z.1
Thieme, H.R.2
-
9
-
-
0013433624
-
Global dynamics of an epidemic model with time delay
-
to appear
-
W. Wang and Z. Ma, Global dynamics of an epidemic model with time delay, Nonlinear Analysis (to appear).
-
Nonlinear Analysis
-
-
Wang, W.1
Ma, Z.2
-
10
-
-
0013336627
-
Threshold dynamics in a delayed SIS epidemic model
-
X.-Q. Zhao and X. Zou, Threshold dynamics in a delayed SIS epidemic model, J. Math. Anal. Appl. 257, 282-291 (2001).
-
(2001)
J. Math. Anal. Appl.
, vol.257
, pp. 282-291
-
-
Zhao, X.-Q.1
Zou, X.2
-
11
-
-
0034486891
-
The mathematics of infectious disease
-
H.W. Hethcote, The mathematics of infectious disease, SIAM Review 42, 599-653 (2000).
-
(2000)
SIAM Review
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
12
-
-
0023527189
-
The invasion, persistence, and spread of infectious diseases within animal and plant communites
-
R.M. Anderson and R.M. May, The invasion, persistence, and spread of infectious diseases within animal and plant communites, Phil. Trans. R. Soc. London B314, 533-570 (1986).
-
(1986)
Phil. Trans. R. Soc. London
, vol.B314
, pp. 533-570
-
-
Anderson, R.M.1
May, R.M.2
-
13
-
-
0024781481
-
Predator-prey populations with parasitic infection
-
K.P. Hadeler and H.I. Freedman, Predator-prey populations with parasitic infection, J. Math. Biol. 27, 609-631 (1989).
-
(1989)
J. Math. Biol.
, vol.27
, pp. 609-631
-
-
Hadeler, K.P.1
Freedman, H.I.2
-
14
-
-
84881150966
-
The influence of disease on Lokta-Volterra systems
-
E. Venturino, The influence of disease on Lokta-Volterra systems, Rocky Mt. J. Math. 24, 381-402 (1994).
-
(1994)
Rocky Mt. J. Math.
, vol.24
, pp. 381-402
-
-
Venturino, E.1
-
15
-
-
0001737855
-
Epidemics in predator-prey models: Disease in the prey
-
Edited by O. Arion, D. Axelrod, M. Kimmel, and M. Langlais, Wuerz, Winnipeg, Canada
-
E. Venturino, Epidemics in predator-prey models: Disease in the prey, In Mathematical Population Dynamics: Analysis of Hetergeneity, One: Theory of Epidemics, (Edited by O. Arion, D. Axelrod, M. Kimmel, and M. Langlais), pp.381-393, Wuerz, Winnipeg, Canada, (1995).
-
(1995)
Mathematical Population Dynamics: Analysis of Hetergeneity, One: Theory of Epidemics
, pp. 381-393
-
-
Venturino, E.1
-
16
-
-
0027070125
-
Do parasites make prey more vulnerable to predation? Red grouse and parasites
-
P.J. Hudson, A.P. Dobson and D. Newborn, Do parasites make prey more vulnerable to predation? Red grouse and parasites, J. Anim. Ecol. 61, 681-692 (1992).
-
(1992)
J. Anim. Ecol.
, vol.61
, pp. 681-692
-
-
Hudson, P.J.1
Dobson, A.P.2
Newborn, D.3
-
17
-
-
0033149514
-
A predator-prey model with disease in the prey
-
J. Chattopadhyay and O. Arion, A predator-prey model with disease in the prey, Nolinear Anal. 36, 747-766 (1999).
-
(1999)
Nolinear Anal.
, vol.36
, pp. 747-766
-
-
Chattopadhyay, J.1
Arion, O.2
-
18
-
-
0035016953
-
Modeling and analysis of a predator-prey model with disease in the prey
-
Y. Xiao and L. Chen, Modeling and analysis of a predator-prey model with disease in the prey, Math. Biosci. 171, 59-82 (2001).
-
(2001)
Math. Biosci.
, vol.171
, pp. 59-82
-
-
Xiao, Y.1
Chen, L.2
-
19
-
-
0034816044
-
Four predator prey models with infectious diseases
-
L. Han, Z. Ma and H.W. Hethcote, Four predator prey models with infectious diseases, Mathl. Comput. Modelling 34 (7/8), 849-858 (2001).
-
(2001)
Mathl. Comput. Modelling
, vol.34
, Issue.7-8
, pp. 849-858
-
-
Han, L.1
Ma, Z.2
Hethcote, H.W.3
-
20
-
-
0003475470
-
-
Springer-Verlag, Berlin, (Reprinted in China by Beijing World Publishing)
-
J.D. Murray, Mathematical Biology, Springer-Verlag, Berlin, (Reprinted in China by Beijing World Publishing), (1998).
-
(1998)
Mathematical Biology
-
-
Murray, J.D.1
-
21
-
-
77952672921
-
Convergence results and a Poincare-Bendixson trichomy for asymptotically autonomous differential equations
-
H.R. Thieme, Convergence results and a Poincare-Bendixson trichomy for asymptotically autonomous differential equations, J. Math. Biol. 30, 755-763 (1992).
-
(1992)
J. Math. Biol.
, vol.30
, pp. 755-763
-
-
Thieme, H.R.1
-
22
-
-
0033836618
-
Influence of vertical and mechanical transmission on the dynamics of dengue disease
-
L. Esteva and C. Vargas, Influence of vertical and mechanical transmission on the dynamics of dengue disease, Math. Biosci. 167, 51-64 (2000).
-
(2000)
Math. Biosci.
, vol.167
, pp. 51-64
-
-
Esteva, L.1
Vargas, C.2
|