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A MODEL OF PREDATOR PREY DYNAMICS AS MODIFIED BY THE ACTION OF A PARASITE
被引:113
作者
:
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton
FREEDMAN, HI
机构
:
[1]
Applied Mathematics Institute, Department of Mathematics, University of Alberta, Edmonton
来源
:
MATHEMATICAL BIOSCIENCES
|
1990年
/ 99卷
/ 02期
基金
:
加拿大自然科学与工程研究理事会;
关键词
:
D O I
:
10.1016/0025-5564(90)90001-F
中图分类号
:
Q [生物科学];
学科分类号
:
07 ;
0710 ;
09 ;
摘要
:
A predator-prey population is described in which the prey population may be either a secondary host or a primary host to a parasite, but the predator is always a primary host. Those prey that have been invaded by the parasite have their behavior modified so as to make them more susceptible to predation. The model is described by a system of three autonomous ordinary differential equations. Conditions for persistence of all populations are given in the case that both populations are primary hosts. A brief discussion of the stability of the interior equilibrium is given. © 1990.
引用
收藏
页码:143 / 155
页数:13
相关论文
共 20 条
[1]
REGULATION AND STABILITY OF HOST-PARASITE POPULATION INTERACTIONS .1. REGULATORY PROCESSES
ANDERSON, RM
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
ANDERSON, RM
MAY, RM
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
MAY, RM
[J].
JOURNAL OF ANIMAL ECOLOGY,
1978,
47
(01)
: 219
-
247
[2]
THE INVASION, PERSISTENCE AND SPREAD OF INFECTIOUS-DISEASES WITHIN ANIMAL AND PLANT-COMMUNITIES
ANDERSON, RM
论文数:
0
引用数:
0
h-index:
0
ANDERSON, RM
MAY, RM
论文数:
0
引用数:
0
h-index:
0
MAY, RM
[J].
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES,
1986,
314
(1167)
: 533
-
570
[3]
INFECTIONS OF 3-SPINED STICKLEBACK GASTEROSTEUS ACULEATUS L WITH PLEROCERCOID LARVAE OF SCHISTOCEPHALUS SOLIDUS (MULLER 1776) WITH SPECIAL REFERENCE TO PATHOLOGICAL EFFECTS
ARME, C
论文数:
0
引用数:
0
h-index:
0
ARME, C
OWEN, RW
论文数:
0
引用数:
0
h-index:
0
OWEN, RW
[J].
PARASITOLOGY,
1967,
57
: 301
-
&
[4]
UNIFORMLY PERSISTENT SYSTEMS
BUTLER, G
论文数:
0
引用数:
0
h-index:
0
机构:
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
BUTLER, G
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
FREEDMAN, HI
WALTMAN, P
论文数:
0
引用数:
0
h-index:
0
机构:
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
WALTMAN, P
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1986,
96
(03)
: 425
-
430
[5]
THE POPULATION BIOLOGY OF PARASITE-INDUCED CHANGES IN HOST BEHAVIOR
DOBSON, AP
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08544 USA
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08544 USA
DOBSON, AP
[J].
QUARTERLY REVIEW OF BIOLOGY,
1988,
63
(02)
: 139
-
165
[6]
Freedman H.I., 1987, DETERMINISTIC MATH M
[7]
PERSISTENCE IN MODELS OF 3 INTERACTING PREDATOR-PREY POPULATIONS
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA, DEPT MATH, IOWA CITY, IA 52242 USA
FREEDMAN, HI
WALTMAN, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA, DEPT MATH, IOWA CITY, IA 52242 USA
WALTMAN, P
[J].
MATHEMATICAL BIOSCIENCES,
1984,
68
(02)
: 213
-
231
[8]
OBLIGATE MUTUALISM WITH A PREDATOR - STABILITY AND PERSISTENCE OF 3-SPECIES MODELS
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA, DEPT ZOOL, EDMONTON T6G 2G1, ALBERTA, CANADA
FREEDMAN, HI
ADDICOTT, JF
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA, DEPT ZOOL, EDMONTON T6G 2G1, ALBERTA, CANADA
ADDICOTT, JF
RAI, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA, DEPT ZOOL, EDMONTON T6G 2G1, ALBERTA, CANADA
RAI, B
[J].
THEORETICAL POPULATION BIOLOGY,
1987,
32
(02)
: 157
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175
[9]
PREDATOR INFLUENCE ON GROWTH OF A POPULATION WITH 3 GENOTYPES
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
FREEDMAN, HI
WALTMAN, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
WALTMAN, P
[J].
JOURNAL OF MATHEMATICAL BIOLOGY,
1978,
6
(04)
: 367
-
374
[10]
GLOBAL STABILITY AND PERSISTENCE OF SIMPLE FOOD-CHAINS
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
FREEDMAN, HI
SO, JWH
论文数:
0
引用数:
0
h-index:
0
SO, JWH
[J].
MATHEMATICAL BIOSCIENCES,
1985,
76
(01)
: 69
-
86
←
1
2
→
共 20 条
[1]
REGULATION AND STABILITY OF HOST-PARASITE POPULATION INTERACTIONS .1. REGULATORY PROCESSES
ANDERSON, RM
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
ANDERSON, RM
MAY, RM
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08540 USA
MAY, RM
[J].
JOURNAL OF ANIMAL ECOLOGY,
1978,
47
(01)
: 219
-
247
[2]
THE INVASION, PERSISTENCE AND SPREAD OF INFECTIOUS-DISEASES WITHIN ANIMAL AND PLANT-COMMUNITIES
ANDERSON, RM
论文数:
0
引用数:
0
h-index:
0
ANDERSON, RM
MAY, RM
论文数:
0
引用数:
0
h-index:
0
MAY, RM
[J].
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES B-BIOLOGICAL SCIENCES,
1986,
314
(1167)
: 533
-
570
[3]
INFECTIONS OF 3-SPINED STICKLEBACK GASTEROSTEUS ACULEATUS L WITH PLEROCERCOID LARVAE OF SCHISTOCEPHALUS SOLIDUS (MULLER 1776) WITH SPECIAL REFERENCE TO PATHOLOGICAL EFFECTS
ARME, C
论文数:
0
引用数:
0
h-index:
0
ARME, C
OWEN, RW
论文数:
0
引用数:
0
h-index:
0
OWEN, RW
[J].
PARASITOLOGY,
1967,
57
: 301
-
&
[4]
UNIFORMLY PERSISTENT SYSTEMS
BUTLER, G
论文数:
0
引用数:
0
h-index:
0
机构:
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
BUTLER, G
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
FREEDMAN, HI
WALTMAN, P
论文数:
0
引用数:
0
h-index:
0
机构:
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
EMORY UNIV,DEPT MATH & COMP SCI,ATLANTA,GA 30322
WALTMAN, P
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1986,
96
(03)
: 425
-
430
[5]
THE POPULATION BIOLOGY OF PARASITE-INDUCED CHANGES IN HOST BEHAVIOR
DOBSON, AP
论文数:
0
引用数:
0
h-index:
0
机构:
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08544 USA
PRINCETON UNIV, DEPT BIOL, PRINCETON, NJ 08544 USA
DOBSON, AP
[J].
QUARTERLY REVIEW OF BIOLOGY,
1988,
63
(02)
: 139
-
165
[6]
Freedman H.I., 1987, DETERMINISTIC MATH M
[7]
PERSISTENCE IN MODELS OF 3 INTERACTING PREDATOR-PREY POPULATIONS
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA, DEPT MATH, IOWA CITY, IA 52242 USA
FREEDMAN, HI
WALTMAN, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA, DEPT MATH, IOWA CITY, IA 52242 USA
WALTMAN, P
[J].
MATHEMATICAL BIOSCIENCES,
1984,
68
(02)
: 213
-
231
[8]
OBLIGATE MUTUALISM WITH A PREDATOR - STABILITY AND PERSISTENCE OF 3-SPECIES MODELS
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA, DEPT ZOOL, EDMONTON T6G 2G1, ALBERTA, CANADA
FREEDMAN, HI
ADDICOTT, JF
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA, DEPT ZOOL, EDMONTON T6G 2G1, ALBERTA, CANADA
ADDICOTT, JF
RAI, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV ALBERTA, DEPT ZOOL, EDMONTON T6G 2G1, ALBERTA, CANADA
RAI, B
[J].
THEORETICAL POPULATION BIOLOGY,
1987,
32
(02)
: 157
-
175
[9]
PREDATOR INFLUENCE ON GROWTH OF A POPULATION WITH 3 GENOTYPES
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
FREEDMAN, HI
WALTMAN, P
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242
WALTMAN, P
[J].
JOURNAL OF MATHEMATICAL BIOLOGY,
1978,
6
(04)
: 367
-
374
[10]
GLOBAL STABILITY AND PERSISTENCE OF SIMPLE FOOD-CHAINS
FREEDMAN, HI
论文数:
0
引用数:
0
h-index:
0
FREEDMAN, HI
SO, JWH
论文数:
0
引用数:
0
h-index:
0
SO, JWH
[J].
MATHEMATICAL BIOSCIENCES,
1985,
76
(01)
: 69
-
86
←
1
2
→