A delayed prey-predator system with parasitic infection

BioSystems

Volumn 85, Issue 2, 2006, Pages 158-164

  Mukherjee, Debasis ^a  

^a VIVEKANANDA COLLEGE   (India)

Author keywords

Micro parasite; Persistence; Prey predator; Stability switching

Indexed keywords

EXTINCTION; FUNCTIONAL RESPONSE; INFECTIVITY; PARASITE; PERSISTENCE; PREDATOR-PREY INTERACTION; SIMULATION;

ARTICLE; COMPUTER ANALYSIS; COMPUTER SIMULATION; DISEASE SIMULATION; HOST PARASITE INTERACTION; PARASITOSIS; PERSISTENT INFECTION; PREDATOR PREY INTERACTION; PREY SELECTION;

EID: 33745736598     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biosystems.2006.01.003     Document Type: Article

References (15)

1. Anderson R.M., and May R.M. The invasion and spread of infectious diseases within animal and plant communities. Philos. Trans. R. Soc. Lond. B 314 (1986) 533-570
2. Arme C., and Owen R.W. Infections of the three-spined stickleback, Gasterosteus aculeatus L., with the plerocercoid larve of Schistocephalus solidus (Muller 1776), with special reference of pathological effects. Parasitology 57 (1967) 301-314
3. Birkhoff, G., Rota, G.C., 1982. Ordinary Differential Equations. Ginn.
4. Butler G.J., Freedman H.I., and Waltman P. Uniformly persistent systems. Proc. Am. Math. Soc. 96 (1986) 425-430
5. Dobson A.P. The population biology of parasite induced changes in host behaviour. Q. Rev. Biol. 63 (1988) 139-165
6. Freedman H.I. A model of predator-prey dynamics as modified by the action of a parasite. Math. Biosci. 99 (1990) 143-155
7. Freedman H.I., and Waltman P. Persistence in models of three interacting predator-prey populations. Math. Biosci. 68 (1984) 213-231
8. Hadeler K.P., and Freedman H.I. Predator-prey population with parasite infection. J. Math. Biol. 27 (1989) 609-631
9. Holmes, J.C., Bethel, W.M., 1972. Modification of intermediate host behaviour by parasite, in: Cunning, E.V., Wright, C.A. (Eds.), Behavioral Aspects of Parasite Transmission. Zool. J. Linn. Soc. 51 (Suppl. 1), 123-149.
10. Kuang Y. Delay Differential Equations with Applications in Population Dynamics (1993), Academic Press
11. Mukherjee D. Uniform persistence in a generalized prey-predator system with parasitic infection. Biosystems 47 (1998) 149-155
12. Mukherjee D. Persistence in a prey-predator system with disease in the prey. J. Biol. Syst. 11 (2003) 101-112
13. Williams H.H. Helminth diseases of fish. Helminth. Abstr. 36 (1967) 261-295
14. Xiao Y., and Chen L. Modelling and analysis of a predator-prey model with disease in the prey. Math. Biosci. 171 (2001) 59-82
15. Zhao T., Kuang Y., and Smith H.L. Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems. Nonlinear Anal.-Theor. Meth. Appl. 28 (1997) 1373-1394