On local(ly) ESS of a pair of prey-predator system with predatory switching

被引:4
作者
Mukherjee, D [1 ]
Roy, AB [1 ]
机构
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
关键词
D O I
10.1016/S0025-5564(98)10008-1
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper concentrates on the study of ecological stability for guaranteeing evolutionary stable strategies (ESS) in a two prey-predator system taking into consideration of handling time, with predatory switching. Here predators are polyphagous in nature. The conditions for ESS of the model system are obtained at the equivalence point. We also derive the invasion conditions of a mutant predator. (C) 1998 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:165 / 177
页数:13
相关论文
共 22 条
[1]  
BIRKHOFF G, 1982, ORDINARY DIFFERENTIA, P23
[2]  
COMINS HN, 1984, J THEOR BIOL, V62, P93
[3]  
GARD TC, 1979, B MATH BIOL, V41, P877, DOI 10.1007/BF02462384
[4]   ANALYZING EXPERIMENTS ON FREQUENCY-DEPENDENT SELECTION BY PREDATORS [J].
GREENWOOD, JJD ;
ELTON, RA .
JOURNAL OF ANIMAL ECOLOGY, 1979, 48 (03) :721-737
[5]   A GENERAL COOPERATION THEOREM FOR HYPERCYCLES [J].
HOFBAUER, J .
MONATSHEFTE FUR MATHEMATIK, 1981, 91 (03) :233-240
[6]   THE EXISTENCE OF AN EQUILIBRIUM FOR PERMANENT SYSTEMS [J].
HUTSON, V .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1990, 20 (04) :1033-1040
[7]   A THEOREM ON AVERAGE LIAPUNOV-FUNCTIONS [J].
HUTSON, V .
MONATSHEFTE FUR MATHEMATIK, 1984, 98 (04) :267-275
[8]  
IVLEV VS, 1961, EXPT ECOOGY FEEDING
[9]   EVOLUTIONARILY STABLE STRATEGIES FOR PREDATOR SWITCHING [J].
MATSUDA, H .
JOURNAL OF THEORETICAL BIOLOGY, 1985, 115 (03) :351-366
[10]   SWITCHING EFFECT ON THE STABILITY OF THE PREY-PREDATOR SYSTEM WITH 3 TROPHIC LEVELS [J].
MATSUDA, H ;
KAWASAKI, K ;
SHIGESADA, N ;
TERAMOTO, E ;
RICCIARDI, LM .
JOURNAL OF THEORETICAL BIOLOGY, 1986, 122 (03) :251-262