Optimal foraging and predator-prey dynamics, II

Theoretical Population Biology

Volumn 55, Issue 2, 1999, Pages 111-126

  Křivan, Vlastimil ^a   Sikder, Asim ^a  

^a INSTITUTE OF ENTOMOLOGY   (Czech Republic)

Author keywords

Apparent competition; Optimal foraging; Permanence; Persistence; Population dynamics

Indexed keywords

FEEDING BEHAVIOR; FORAGING BEHAVIOR; POPULATION DYNAMICS; PREDATOR-PREY INTERACTION;

ANIMALIA;

EID: 0038614850     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.1998.1399     Document Type: Article

References (32)

1. Aubin J.-P., Cellina A. Differential Inclusions. 1984;Springer-Verlag, Berlin.
2. Briggs C. J., Nisbet R. M., Murdoch W. W., Collier T. R., Metz J. A. J. Dynamical effects of host-feeding in parasitoids. J. Anim. Ecol. 64:1995;403-416.
3. Butler G., Waltman P. Persistence in dynamical systems. J. Differential Equations. 63:1986;255-263.
4. Charnov E. L. Optimal foraging, the marginal value theorem. Theor. Popul. Biol. 9:1976;129-136.
5. Chesson P. Predator-prey theory and variability. Annu. Rev. Ecol. Systematics. 9:1978;323-347.
6. Colombo R., Křivan V. Selective strategies in food webs. IMA J. Math. Appl. Med. Biol. 10:1993;281-291.
7. Filippov A. F. Differential Equations with Discontinuous Righthand Sides. 1988;Kluwer Academic, Dordrecht.
8. Fryxell J. M., Lundberg P. Diet choice and predator-prey dynamics. Evol. Ecol. 8:1994;407-421.
9. Hofbauer J., Sigmund K. The Theory of Evolution and Dynamical Systems. 1984;Cambridge Univ. Press, Cambridge.
10. Holt R. D. Predation, apparent competition, and the structure of prey communities. Theor. Popul. Biol. 12:1977;197-229.
11. Hutson V., Schmitt K. Permanence and the dynamics of biological systems. Math. Biosc. 111:1992;1-71.
12. Ives A. R., Dobson A. P. Antipredator behaviour and the population dynamics of simple predator-prey systems. Am. Natur. 130:1987;431-447.
13. Kidd N. A. C., Jervis M. A. The effects of host-feeding behavior on the dynamics of parasitoid-host interactions, and the implications for biological control. Res. Popul. Ecol. 31:1989;235-274.
14. Kidd N. A. C., Jervis M. A. Host-feeding and oviposition by parasitoids in relation to host stage: Consequences for parasitioid-host population dynamics. Res. Popul. Ecol. 33:1991;87-99.
15. Křivan V. Optimal foraging and predator-prey dynamics. Theor. Popul. Biol. 49:1996;265-290.
16. Křivan V. Dynamic ideal free distribution: Effects of optimal patch choice on predator-prey dynamics. Am. Natur. 149:1997a;164-178.
17. Křivan V. Dynamical consequences of optimal host-feeding on host-parasitoid population dynamics. Bull. Math. Biol. 59:1997b;809-831.
18. Křivan V. Effects of optimal antipredator behavior of prey on predator-prey dynamics: Role of refuges. Theor. Popul. Biol. 53:1998;131-142.
19. Křivan V., Sirot E. Searching for food or hosts: The influence of parasitoids behavior on parasitoid-host dynamics. Theor. Popul. Biol. 51:1997;201-209.
20. Kuang Y., Freedman H. I. Uniqueness of limit cycles in Gause-type models of predator-prey systems. Math. Biosci. 88:1988;67-84.
21. Murdoch W. W., Oaten A. Predation and population stability. Adv. Ecol. Res. 9:1975;1-131.
22. Paine R. T. A note on trophic complexity and community stability. Am. Natur. 103:1969;91-93.
23. Richardson H., Verbeeck N. A. M. Diet selection and optimization by northwestern crows feeding on japanese littleneck clams. Ecology. 67:1992;1219-1226.
24. Ruxton G. D. Short term refuge use and stability of predator- prey models. Theor. Popul. Biol. 47:1995;1-17.
25. Schmitz O. J., Beckerman A. P., Litman S. Functional responses of adaptive consumes and community stability with emphasis on the dynamics of plant-herbivore systems. Evol. Ecol. 11:1997;773-784.
26. Sih A. Predators and prey lifestyles: An evolutionary and ecological overview. Predation: Direct and Indirect Impacts on Aquatic Communities. 1987;University Press of New England, Hanover. p. 203-224.
27. Sikder A., Roy A. B. Multiple cyclic sets connecting saddle points and limit cycles of a four-species system and its uniform persistence. Math. Biosc. 121:1994;141-154.
28. Sirot E., Křivan V. Adaptive superparasitism and host parasitoid dynamics. Bull. Math. Biol. 59:1997;23-41.
29. Stephens D. W., Krebs J. R. Foraging Theory. 1986;Princeton Univ. Press, Princeton.
30. van Baalen M., Sabelis M. W. Coevolution of patch selection strategies of predator and prey and the consequences for ecological stability. Am. Natur. 142:1993;646-670.
31. Vandermeer J., Maruca S. Indirect effects with a keystone predator: Coexistence and chaos. Theor. Popul. Biol. 54:1998;38-43.
32. Yamamura N., Yano E. A simple model of host-parasitoid interaction with host-feeding. Res. Popul. Ecol. 30:1988;353-369.