Instability in a predator-prey system with delay and spatial averaging

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 56, Issue 2, 1996, Pages 121-132

  Gourley, S A ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; MATHEMATICAL MODELS; STABILITY CRITERIA;

PARTICULAR DELAY KERNEL; PREDATOR PREY DIFFUSION MODEL; SPATIAL AVERAGING; TEMPORAL AVERAGING;

SYSTEM STABILITY;

EID: 0030125027     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/56.2.121     Document Type: Article

References (7)

1. BRITTON, N. F., 1990. Spatial structures and periodic travelling waves in an integrodifferential reaction-diffusion population model. SIAM J. Appl. Math. 50, 1663-88.
2. CUSHING, J. M., 1977. Integro-differential equations and delay models in population dynamics. Springer Verlag: Berlin.
3. FARKAS, A., FARKAS, M., & SZABÓ, G., 1988. Multiparameter bifurcation diagrams in predator-prey models with time lag. J. Math. Biol. 26, 93-103.
4. FURTER, J., & GRINFELD, M., 1989. Local vs. non-local interactions in population dynamics. J. Math. Biol. 27, 65-80.
5. GOURLEY, S. A., 1993. Nonlocal effects in predator-prey systems. Ph.D. thesis, University of Bath.
6. GOURLEY, S. A., & BRITTON, N. F., 1996. A predator-prey reaction-diffusion system with nonlocal effects. J. Math. Biol. 34, 297-333.
7. MARSHALL, J. E., GÓRECKI, H., WALTON, K., & KORYTOWSKI, A., 1992. Time-Delay Systems; Stability and Performance Criteria with Applications. London: Ellis Horwood.