-
1
-
-
0037058259
-
Discrete-time deterministic and stochastic models for the spread of rabies
-
L. J. S. ALLEN, D. A. FLORES, R. K. RATNAYAKE, AND J. R. HERBOLD, Discrete-time deterministic and stochastic models for the spread of rabies, Appl. Math. Comput., 132 (2002), pp. 271-292.
-
(2002)
Appl. Math. Comput
, vol.132
, pp. 271-292
-
-
ALLEN, L.J.S.1
FLORES, D.A.2
RATNAYAKE, R.K.3
HERBOLD, J.R.4
-
2
-
-
0019405444
-
Population dynamics of fox rabies in Europe
-
R. M. ANDERSON, H. C. JACKSON, R. M. MAY, AND A. M. SMITH, Population dynamics of fox rabies in Europe, Nature, 289 (1981), pp. 765-771.
-
(1981)
Nature
, vol.289
, pp. 765-771
-
-
ANDERSON, R.M.1
JACKSON, H.C.2
MAY, R.M.3
SMITH, A.M.4
-
3
-
-
0025545718
-
Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model
-
N. F. BRITTON, Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model, SIAM J. Appl. Math., 50 (1990), pp. 1663-1688.
-
(1990)
SIAM J. Appl. Math
, vol.50
, pp. 1663-1688
-
-
BRITTON, N.F.1
-
4
-
-
0001203924
-
Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
-
X. CHEN, Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations, Adv. Differential Equations, 2 (1997), pp. 125-160.
-
(1997)
Adv. Differential Equations
, vol.2
, pp. 125-160
-
-
CHEN, X.1
-
5
-
-
0001868062
-
Transition layers for singularly perturbed delay differential equations with monotone nonlinearities
-
S.-N. CHOW, X.-B. LIN, AND J. MALLET- PARET, Transition layers for singularly perturbed delay differential equations with monotone nonlinearities, J. Dynam. Differential Equations, 1 (1989), pp. 3-43.
-
(1989)
J. Dynam. Differential Equations
, vol.1
, pp. 3-43
-
-
CHOW, S.-N.1
LIN, X.-B.2
MALLET- PARET, J.3
-
6
-
-
0034695526
-
Wildlife ecology - Emerging infectious diseases of wildlife - Threats to biodiversity and human health
-
P. DASZAK, A. A. CUNNINGHAM, AND A. D. HYATT, Wildlife ecology - Emerging infectious diseases of wildlife - Threats to biodiversity and human health, Science, 287 (2000), pp. 443-449.
-
(2000)
Science
, vol.287
, pp. 443-449
-
-
DASZAK, P.1
CUNNINGHAM, A.A.2
HYATT, A.D.3
-
7
-
-
0020568654
-
Travelling wave solutions of diffusive Lotka-Volterra equations
-
S. R. DUNBAR, Travelling wave solutions of diffusive Lotka-Volterra equations, J. Math. Biol., 17 (1983), pp. 11-32.
-
(1983)
J. Math. Biol
, vol.17
, pp. 11-32
-
-
DUNBAR, S.R.1
-
8
-
-
33745920917
-
Traveling waves for delayed reaction-diffusion equations with non-local response
-
T. FARIA, W. HUANG, AND J. WU, Traveling waves for delayed reaction-diffusion equations with non-local response, Proc. Roy. Soc. London Ser. A, 462 (2006), pp. 229-261.
-
(2006)
Proc. Roy. Soc. London Ser. A
, vol.462
, pp. 229-261
-
-
FARIA, T.1
HUANG, W.2
WU, J.3
-
9
-
-
0012189671
-
A predator prey reaction diffusion system with nonlocal effects
-
S. A. GOURLEY AND N. F. BRITTON, A predator prey reaction diffusion system with nonlocal effects, J. Math. Biol., 34 (1996), pp. 297-333.
-
(1996)
J. Math. Biol
, vol.34
, pp. 297-333
-
-
GOURLEY, S.A.1
BRITTON, N.F.2
-
10
-
-
33745885794
-
Non-locality of reaction-diffusion equations induced by delay: Biological modeling and nonlinear dynamics
-
S. A. GOURLEY, J. W.-H. SO, AND J. WU, Non-locality of reaction-diffusion equations induced by delay: Biological modeling and nonlinear dynamics, J. Math. Sci. (N.Y.), 124 (2004), pp. 5119-5153.
-
(2004)
J. Math. Sci. (N.Y.)
, vol.124
, pp. 5119-5153
-
-
GOURLEY, S.A.1
SO, J.W.-H.2
WU, J.3
-
11
-
-
33845515570
-
Delayed reaction diffusion equations: Theory and applications to biological invasion and disease spread
-
H. Brunner, X. Zhao, and X. Zou, eds, AMS, Providence, RI
-
S. A. GOURLEY AND J. WU, Delayed reaction diffusion equations: Theory and applications to biological invasion and disease spread, in Nonlinear Dynamics and Evolution Equations, H. Brunner, X. Zhao, and X. Zou, eds., AMS, Providence, RI, 2006, pp. 137-200.
-
(2006)
Nonlinear Dynamics and Evolution Equations
, pp. 137-200
-
-
GOURLEY, S.A.1
WU, J.2
-
12
-
-
0002702117
-
Nicholson's blowflies revisited
-
W. S. C. GURNEY, S. P. BLYTHE, AND R. M. NISBET, Nicholson's blowflies revisited, Nature, 287 (1980), pp. 17-21.
-
(1980)
Nature
, vol.287
, pp. 17-21
-
-
GURNEY, W.S.C.1
BLYTHE, S.P.2
NISBET, R.M.3
-
13
-
-
0001330437
-
Heteroclinic orbits for retarded functional-differential equations
-
J. K. HALE AND X.-B. LIN, Heteroclinic orbits for retarded functional-differential equations, J. Differential Equations, 65 (1986), pp. 175-202.
-
(1986)
J. Differential Equations
, vol.65
, pp. 175-202
-
-
HALE, J.K.1
LIN, X.-B.2
-
14
-
-
0013586934
-
Thresholds and travelling waves in an epidemic model for rabies
-
A. KALLEN, Thresholds and travelling waves in an epidemic model for rabies, Nonlinear Anal., 8 (1984), pp. 851-856.
-
(1984)
Nonlinear Anal
, vol.8
, pp. 851-856
-
-
KALLEN, A.1
-
15
-
-
0022411791
-
A simple model for the spatial spread and control of rabies
-
A. KALLEN, P. ARCURI, AND J. D. MURRAY, A simple model for the spatial spread and control of rabies, J. Theoret. Biol., 116 (1985), pp. 377-393.
-
(1985)
J. Theoret. Biol
, vol.116
, pp. 377-393
-
-
KALLEN, A.1
ARCURI, P.2
MURRAY, J.D.3
-
16
-
-
0003689370
-
-
B. T. Batsford Ltd, London
-
H. G. LLOYD, The Red Fox, B. T. Batsford Ltd., London, 1980.
-
(1980)
The Red Fox
-
-
LLOYD, H.G.1
-
18
-
-
0038205228
-
Contributions to the Theory of Nonlinear Oscillations
-
Ann. of Math. Stud. 36, Princeton University Press, Princeton, NJ
-
L. MARKUS, Asymptotically autonomous differential systems, in Contributions to the Theory of Nonlinear Oscillations, Vol. 3, Ann. of Math. Stud. 36, Princeton University Press, Princeton, NJ, 1956, pp. 17-29.
-
(1956)
Asymptotically autonomous differential systems
, vol.3
, pp. 17-29
-
-
MARKUS, L.1
-
19
-
-
84966246501
-
-
R. H. MARTIN, JR., AND H. L. SMITH, Abstract functional-differential equations and reaction-diffusion systems, Trans. Amer. Math. Soc., 321 (1990), pp. 1-44.
-
R. H. MARTIN, JR., AND H. L. SMITH, Abstract functional-differential equations and reaction-diffusion systems, Trans. Amer. Math. Soc., 321 (1990), pp. 1-44.
-
-
-
-
20
-
-
33847703102
-
-
J. A. J. METZ AND O. DIEKMANN, EDS., The Dynamics of Physiologically Structured Populations, papers from the colloquium held in Amsterdam, 1983, Lecture Notes in Biomath. 68, Springer-Verlag, Berlin, 1986.
-
J. A. J. METZ AND O. DIEKMANN, EDS., The Dynamics of Physiologically Structured Populations, papers from the colloquium held in Amsterdam, 1983, Lecture Notes in Biomath. 68, Springer-Verlag, Berlin, 1986.
-
-
-
-
21
-
-
0000703838
-
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions
-
K. MISCHAIKOW, H. SMITH, AND H. R. THIEME, Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions, Trans. Amer. Math. Soc., 347 (1995), pp. 1669-1685.
-
(1995)
Trans. Amer. Math. Soc
, vol.347
, pp. 1669-1685
-
-
MISCHAIKOW, K.1
SMITH, H.2
THIEME, H.R.3
-
22
-
-
0022847795
-
On the spatial spread of rabies among foxes
-
J. D. MURRAY, E. A. STANLEY, AND D. L. BROWN, On the spatial spread of rabies among foxes, Proc. Roy. Soc. London Ser. B, 229 (1986), pp. 111-150.
-
(1986)
Proc. Roy. Soc. London Ser. B
, vol.229
, pp. 111-150
-
-
MURRAY, J.D.1
STANLEY, E.A.2
BROWN, D.L.3
-
24
-
-
0011634712
-
Behaviour of solutions of some abstract functional differential equations and application to predator-prey dynamics
-
M. A. POZIO, Behaviour of solutions of some abstract functional differential equations and application to predator-prey dynamics, Nonlinear Anal., 4 (1980), pp. 917-938.
-
(1980)
Nonlinear Anal
, vol.4
, pp. 917-938
-
-
POZIO, M.A.1
-
25
-
-
0007144363
-
Some conditions for global asymptotic stability of equilibria of integro-differential equations
-
M. A. POZIO, Some conditions for global asymptotic stability of equilibria of integro-differential equations, J. Math. Anal. Appl., 95 (1983), pp. 501-527.
-
(1983)
J. Math. Anal. Appl
, vol.95
, pp. 501-527
-
-
POZIO, M.A.1
-
26
-
-
0000699171
-
Existence theorems for semilinear parabolic systems with functional
-
R. REDLINGER, Existence theorems for semilinear parabolic systems with functional, Nonlinear Anal., 8 (1984), pp. 667-382.
-
(1984)
Nonlinear Anal
, vol.8
, pp. 667-382
-
-
REDLINGER, R.1
-
27
-
-
0003359061
-
On Volterra's population equation with diffusion
-
R. REDLINGER, On Volterra's population equation with diffusion, SIAM J. Math. Anal., 16 (1985), pp. 135-142.
-
(1985)
SIAM J. Math. Anal
, vol.16
, pp. 135-142
-
-
REDLINGER, R.1
-
28
-
-
0001676484
-
Strongly order preserving semiflows generated by functional-differential equations
-
H. L. SMITH AND H. R. THIEME, Strongly order preserving semiflows generated by functional-differential equations, J. Differential Equations, 93 (1991), pp. 332-363.
-
(1991)
J. Differential Equations
, vol.93
, pp. 332-363
-
-
SMITH, H.L.1
THIEME, H.R.2
-
29
-
-
32044440101
-
A reaction diffusion model for a single species with age structure, I. Travelling wave fronts on unbounded domains
-
J. W.-H. SO, J. WU, AND X. ZOU, A reaction diffusion model for a single species with age structure, I. Travelling wave fronts on unbounded domains, Proc. Roy. Soc. London Ser. A, 457 (2001), pp. 1841-1853.
-
(2001)
Proc. Roy. Soc. London Ser. A
, vol.457
, pp. 1841-1853
-
-
SO, J.W.-H.1
WU, J.2
ZOU, X.3
-
30
-
-
0016338930
-
Rabies in wild carnivores in central Europe. 1. Epidemiological studies
-
A. WANDELER, G. WACHENDORFER, U. FORSTER, H. KREKEL, W. SCHALE, J. MULLER, AND F. STECK, Rabies in wild carnivores in central Europe. 1. Epidemiological studies, Zbl. Veter. Med. B, 21 (1974), pp. 735-756.
-
(1974)
Zbl. Veter. Med. B
, vol.21
, pp. 735-756
-
-
WANDELER, A.1
WACHENDORFER, G.2
FORSTER, U.3
KREKEL, H.4
SCHALE, W.5
MULLER, J.6
STECK, F.7
-
31
-
-
0016333173
-
Rabies in wild carnivores in central Europe. 3. Ecology and biology of the fox in relation to control operations
-
A. WANDELER, G. MULLER, G. WACHENDORFER, W. SCHALE, U. FORSTER, AND F. STECK, Rabies in wild carnivores in central Europe. 3. Ecology and biology of the fox in relation to control operations, Zbl. Veter. Med. B, 21 (1974), pp. 765-773.
-
(1974)
Zbl. Veter. Med. B
, vol.21
, pp. 765-773
-
-
WANDELER, A.1
MULLER, G.2
WACHENDORFER, G.3
SCHALE, W.4
FORSTER, U.5
STECK, F.6
-
34
-
-
0000259866
-
Asymptotic stability for some systems of semilinear Volterra diffusion equations
-
Y. YAMADA, Asymptotic stability for some systems of semilinear Volterra diffusion equations, J. Differential Equations, 52 (1984), pp. 295-326.
-
(1984)
J. Differential Equations
, vol.52
, pp. 295-326
-
-
YAMADA, Y.1
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