-
1
-
-
85044685816
-
The invasion, persistence and spread of infectious diseases within animal and plant communities
-
R. M. ANDERSON AND R. M. MAY, The invasion, persistence and spread of infectious diseases within animal and plant communities, Phil. Trans. Roy. Soc. London B, 314 (1986), pp. 553-570.
-
(1986)
Phil. Trans. Roy. Soc. London B
, vol.314
, pp. 553-570
-
-
Anderson, R.M.1
May, R.M.2
-
2
-
-
0002337584
-
Beyond host pathogen dynamics
-
B. T. Grenfell and A. P. Dobson, eds., Cambridge University Press, Cambridge, UK
-
M. BEGON AND R. G. BOWERS, Beyond host pathogen dynamics, in Ecology of Infectious Diseases in Natural Populations, B. T. Grenfell and A. P. Dobson, eds., Cambridge University Press, Cambridge, UK, 1995, pp. 478-509.
-
(1995)
Ecology of Infectious Diseases in Natural Populations
, pp. 478-509
-
-
Begon, M.1
Bowers, R.G.2
-
3
-
-
0031558229
-
Community structure and interplay between interspecific infection and competition
-
R. G. BOWERS AND J. TURNER, Community structure and interplay between interspecific infection and competition, J. Theor. Biol., 187 (1997), pp. 95-109.
-
(1997)
J. Theor. Biol.
, vol.187
, pp. 95-109
-
-
Bowers, R.G.1
Turner, J.2
-
4
-
-
0009967980
-
Vertically transmitted diseases
-
Springer-Verlag, New York
-
S. BUSENBERG AND K. L. COOKE, Vertically Transmitted Diseases, Biomath. 23, Springer-Verlag, New York, 1993.
-
(1993)
Biomath.
, vol.23
-
-
Busenberg, S.1
Cooke, K.L.2
-
5
-
-
0001436854
-
A method for proving the non-existence of limit cycles
-
S. BUSENBERG AND P. VAN DEN DRIESSCHE, A method for proving the non-existence of limit cycles, J. Math. Anal. Appl., 172 (1993), pp. 463-479.
-
(1993)
J. Math. Anal. Appl.
, vol.172
, pp. 463-479
-
-
Busenberg, S.1
Van Den Driessche, P.2
-
6
-
-
0001591290
-
Asymptotic behaviors in the dynamics of competing species
-
J. COSTE, J. PEYRAUD, AND P. COULLET, Asymptotic behaviors in the dynamics of competing species, SIAM J. Appl. Math., 36 (1979), pp. 516-543.
-
(1979)
SIAM J. Appl. Math.
, vol.36
, pp. 516-543
-
-
Coste, J.1
Peyraud, J.2
Coullet, P.3
-
7
-
-
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), pp. 717-731.
-
(1992)
J. Math. Biol.
, vol.30
, pp. 717-731
-
-
Gao, L.Q.1
Hethcote, H.W.2
-
8
-
-
0031557668
-
Infected coexistence instability with and without density-dependent regulation
-
J. V. GREENMAN AND P. J. HUDSON, Infected coexistence instability with and without density-dependent regulation, J. Theor. Biol., 185 (1997), pp. 345-356.
-
(1997)
J. Theor. Biol.
, vol.185
, pp. 345-356
-
-
Greenman, J.V.1
Hudson, P.J.2
-
9
-
-
0033179865
-
Host exclusion and coexistence in apparent and direct competition: An application of bifurcation theory
-
J. V. GREENMAN AND P. J. HUDSON, Host exclusion and coexistence in apparent and direct competition: An application of bifurcation theory, Theor. Pop. Biol., 56 (1999), pp. 48-64.
-
(1999)
Theor. Pop. Biol.
, vol.56
, pp. 48-64
-
-
Greenman, J.V.1
Hudson, P.J.2
-
10
-
-
0000236256
-
Periodicity in epidemiological models
-
S. A. Levin, T. G. Hallam, and L. J. Gross, eds., Springer-Verlag, New York
-
H. W. HETHCOTE AND S. A. LEVIN, Periodicity in epidemiological models, in Applied Mathematical Ecology, S. A. Levin, T. G. Hallam, and L. J. Gross, eds., Springer-Verlag, New York, 1999, pp. 193-211.
-
(1999)
Applied Mathematical Ecology
, pp. 193-211
-
-
Hethcote, H.W.1
Levin, S.A.2
-
11
-
-
84956106116
-
Systems of differential equations that are competitive or cooperative. Ill: Competing species
-
M. W. HIRSCH, Systems of differential equations that are competitive or cooperative. Ill: Competing species, Nonlinearity, 1 (1988), pp. 51-71.
-
(1988)
Nonlinearity
, vol.1
, pp. 51-71
-
-
Hirsch, M.W.1
-
13
-
-
43949156327
-
Multiple limit cycles for three dimensional competitive Lotka-Volterra equations
-
J. HOFBAUER AND J. W.-H. So, Multiple limit cycles for three dimensional competitive Lotka-Volterra equations, Appl. Math. Lett., 7 (1994), pp. 65-70.
-
(1994)
Appl. Math. Lett.
, vol.7
, pp. 65-70
-
-
Hofbauer, J.1
So, J.W.-H.2
-
14
-
-
0022191646
-
Infectious diseases and species coexistence: A model of Lotka-Volterra form
-
R. D. HOLT AND J. PICKERING, Infectious diseases and species coexistence: A model of Lotka-Volterra form, Am. Nat., 126 (1985), pp. 196-211.
-
(1985)
Am. Nat.
, vol.126
, pp. 196-211
-
-
Holt, R.D.1
Pickering, J.2
-
16
-
-
0013303928
-
-
The Geometry Center, Minneapolis, MN
-
S. LEVY, T. MUNZNER, M. PHILLIPS, ET AL., Geomview, The Geometry Center, Minneapolis, MN, 1996, http://www.geom.umn.edu.
-
(1996)
Geomview
-
-
Levy, S.1
Munzner, T.2
Phillips, M.3
-
17
-
-
0036630612
-
Two limit cycles in three-dimensional Lotka-Volterra systems
-
Z. Lu AND Y. Luo, Two limit cycles in three-dimensional Lotka-Volterra systems, Comput. Math. Appl., 44 (2002), pp. 51-66.
-
(2002)
Comput. Math. Appl.
, vol.44
, pp. 51-66
-
-
Lu, Z.1
Luo, Y.2
-
18
-
-
21444434953
-
Extinction in nonautonomous competitive Lotka-Volterra systems
-
F. MONTES DE OCA AND M. L. ZEEMAN, Extinction in nonautonomous competitive Lotka-Volterra systems, Proc. Amer. Math. Soc., 124 (1996), pp. 3677-3687.
-
(1996)
Proc. Amer. Math. Soc.
, vol.124
, pp. 3677-3687
-
-
De Oca, F.M.1
Zeeman, M.L.2
-
19
-
-
0003363592
-
Mathematical Biology
-
Springer-Verlag, New York
-
J. D. MURRAY, Mathematical Biology, Biomath. 19, Springer-Verlag, New York, 1993.
-
(1993)
Biomath.
, vol.19
-
-
Murray, J.D.1
-
20
-
-
0032000798
-
Three-dimensional competitive Lotka-Volterra systems with no periodic orbits
-
P. VAN DEN DRIESSCHE AND M. L. ZEEMAN, Three-dimensional competitive Lotka-Volterra systems with no periodic orbits, SIAM J. Appl. Math., 58 (1998), pp. 227-234.
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 227-234
-
-
Van Den Driessche, P.1
Zeeman, M.L.2
-
21
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
P. VAN DEN DRIESSCHE AND J. WATMOUGH, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), pp. 29-48.
-
(2002)
Math. Biosci.
, vol.180
, pp. 29-48
-
-
Van Den Driessche, P.1
Watmough, J.2
-
22
-
-
0035669003
-
The effects, of diseases on competing species
-
E. VENTURINO, The effects, of diseases on competing species, Math. Biosci., 174 (2001), pp. 111-131.
-
(2001)
Math. Biosci.
, vol.174
, pp. 111-131
-
-
Venturino, E.1
-
23
-
-
0002380465
-
Limit cycles for the competitive three dimensional Lotka-Volterra systems
-
D. XIAO AND W. Li, Limit cycles for the competitive three dimensional Lotka-Volterra systems, J. Differential Equations, 164 (2000), pp. 1-15.
-
(2000)
J. Differential Equations
, vol.164
, pp. 1-15
-
-
Xiao, D.1
Li, W.2
-
24
-
-
0027796995
-
Hopf bifurcations in competitive three dimensional Lotka-Volterra systems
-
M. L. ZEEMAN, Hopf bifurcations in competitive three dimensional Lotka-Volterra systems, Dyn. Stab. Syst., 8 (1993), pp. 189-217.
-
(1993)
Dyn. Stab. Syst.
, vol.8
, pp. 189-217
-
-
Zeeman, M.L.1
-
25
-
-
11644304582
-
On directed periodic orbits in three-dimensional competitive Lotka-Volterra systems
-
M. Martelli et al., eds., World Scientific, River Edge, NJ
-
M. L. ZEEMAN, On directed periodic orbits in three-dimensional competitive Lotka-Volterra systems, in Differential Equations and Applications to Biology and to Industry, M. Martelli et al., eds., World Scientific, River Edge, NJ, 1996, pp. 563-572.
-
(1996)
Differential Equations and Applications to Biology and to Industry
, pp. 563-572
-
-
Zeeman, M.L.1
|