Disease in prey population and body size of intermediate predator reduce the prevalence of chaos-conclusion drawn from Hastings-Powell model

被引：29

作者：

Das, Krishna Pada ^{[1
]}

Chatterjee, Samrat ^{[1
]}

Chattopadhyay, J. ^{[1
]}

机构：

[1] Indian Stat Inst, Agr & Ecol Res Unit, Kolkata 700108, W Bengal, India

来源：

ECOLOGICAL COMPLEXITY | 2009年 / 6卷 / 03期

关键词：

Disease in prey; Body size; Intermediate predator; Chaos; Stable; Permanence; Impermanence; 3-SPECIES FOOD-CHAIN; DYNAMICS; STABILITY;

D O I：

10.1016/j.ecocom.2009.03.003

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

In ecology the disease in the prey population plays an important role in controlling the dynamical behaviour of the system. We modify Hastings and Powell's (HP) [Hastings, A., Powell, T., 1991. Chaos in three-species food chain. Ecology 72 (3), 896-903] model by introducing disease in the prey population. The conditions for which the modified HP model system represents extinction, permanence or impermanence of population are worked out. The modified model is analyzed to obtain different conditions for which the system exhibits stability around the biologically feasible equilibria. Through numerical simulations we display that the modified system enters into stable solutions depending upon the force of infection in prey population as well as body size of intermediate predator. Our results demonstrate that disease in prey population and body size of intermediate predator are the key parameters for controlling the chaotic dynamics observed in original HP model. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：363 / 374

页数：12

共 39 条

[1] 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

[2] Infection in prey population may act as a biological control in ratio-dependent predator-prey models [J].

Arino, O ;

El abdllaoui, A ;

Mikram, J ;

Chattopadhyay, J .

NONLINEARITY, 2004, 17 (03) :1101-1116

[3] RELATIONSHIPS BETWEEN BODY SIZE AND SOME LIFE-HISTORY PARAMETERS [J].

BLUEWEISS, L ;

FOX, H ;

KUDZMA, V ;

NAKASHIMA, D ;

PETERS, R ;

SAMS, S .

OECOLOGIA, 1978, 37 (02) :257-272

[4] UNIFORMLY PERSISTENT SYSTEMS [J].

BUTLER, G ;

FREEDMAN, HI ;

WALTMAN, P .

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

[5] Proper predation makes the system disease free - Conclusion drawn from an eco-epidemiological model [J].

Chatterjee, Samrat ;

Bandyopadhyay, M. ;

Chattopadhyay, J. .

JOURNAL OF BIOLOGICAL SYSTEMS, 2006, 14 (04) :599-616

[6] Chaos to order: preliminary experiments with a population dynamics models of three trophic levels [J].

Chattopadhyay, J ;

Sarkar, RR .

ECOLOGICAL MODELLING, 2003, 163 (1-2) :45-50

[7] A predator-prey model with disease in the prey [J].

Chattopadhyay, J ;

Arino, O .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (06) :747-766

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

DOBSON, AP .

QUARTERLY REVIEW OF BIOLOGY, 1988, 63 (02) :139-165

[9] THE STRUCTURAL STABILITY OF A 3-SPECIES FOOD-CHAIN MODEL [J].

EISENBERG, JN ;

MASZLE, DR .

JOURNAL OF THEORETICAL BIOLOGY, 1995, 176 (04) :501-510

[10] A MODEL OF PREDATOR PREY DYNAMICS AS MODIFIED BY THE ACTION OF A PARASITE [J].

FREEDMAN, HI .

MATHEMATICAL BIOSCIENCES, 1990, 99 (02) :143-155

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