A MODEL OF PREDATOR PREY DYNAMICS AS MODIFIED BY THE ACTION OF A PARASITE

被引：115

作者：

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.

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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 [J].

ANDERSON, RM ;

MAY, RM .

JOURNAL OF ANIMAL ECOLOGY, 1978, 47 (01) :219-247

[2] THE INVASION, PERSISTENCE AND SPREAD OF INFECTIOUS-DISEASES WITHIN ANIMAL AND PLANT-COMMUNITIES [J].

ANDERSON, RM ;

MAY, RM .

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 [J].

ARME, C ;

OWEN, RW .

PARASITOLOGY, 1967, 57 :301-&

[4] UNIFORMLY PERSISTENT SYSTEMS [J].

BUTLER, G ;

FREEDMAN, HI ;

WALTMAN, P .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (03) :425-430

[5] THE POPULATION BIOLOGY OF PARASITE-INDUCED CHANGES IN HOST BEHAVIOR [J].

DOBSON, AP .

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 [J].

FREEDMAN, HI ;

WALTMAN, P .

MATHEMATICAL BIOSCIENCES, 1984, 68 (02) :213-231

[8] OBLIGATE MUTUALISM WITH A PREDATOR - STABILITY AND PERSISTENCE OF 3-SPECIES MODELS [J].

FREEDMAN, HI ;

ADDICOTT, JF ;

RAI, B .

THEORETICAL POPULATION BIOLOGY, 1987, 32 (02) :157-175

[9] PREDATOR INFLUENCE ON GROWTH OF A POPULATION WITH 3 GENOTYPES [J].

FREEDMAN, HI ;

WALTMAN, P .

JOURNAL OF MATHEMATICAL BIOLOGY, 1978, 6 (04) :367-374

[10] GLOBAL STABILITY AND PERSISTENCE OF SIMPLE FOOD-CHAINS [J].

FREEDMAN, HI ;

SO, JWH .

MATHEMATICAL BIOSCIENCES, 1985, 76 (01) :69-86