Travelling fronts in a food-limited population model with time delay

Royal Society of Edinburgh - Proceedings A

Volumn 132, Issue 1, 2002, Pages 75-89

  Gourley, S A ^a   Chaplain, M A J ^b  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b UNIVERSITY OF DUNDEE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036990229     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500001530     Document Type: Conference Paper

References (15)

1. N. F. Britton. Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model. SIAM J. Appl. Math. 50 (1990), 1663-1688.
2. J. Canosa. On a nonlinear diffusion equation describing population growth. IBM J. Res. Develop. 17 (1973). 307-313.
3. W. Feng and X. Lu. On diffusive population models with toxicants and time delays. J. Math. Analysis Applic. 233 (1999), 373-386.
4. N. Fenichel. Geometric singular perturbation theory for ordinary differential equations. J. Diff. Eqns 31 (1979), 53-98.
5. K. Gopalsamy, M. R. S. Kulenovic and G. Ladas. Time lags in a 'food-limited' population model. Applicable Analysis 31 (1988), 225-237.
6. K. Gopalsamy, M. R. S. Kulenovic and G. Ladas. Environmental periodicity and time delays in a 'food-limited' population model. J. Math, Analysis Applic. 147 (1990), 545-555.
7. S. A. Gourley. Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays. Math. Comput. Modelling 32 (2000), 843-853.
8. T. G. Hallam and J. T. DeLuna. Effects of toxicants on populations: a qualitative approach. III. Environmental and food chain pathways. J. Theoret. Biol. 109 (1984), 411-429.
9. Y. Kuang. Delay differential equations with applications in population dynamics. In Mathematics in Science and Engineering, vol. 191 (Academic, 1993).
10. E. C. Pielou. Introduction to mathematical ecology (Wiley, 1969).
11. J. A. Sherratt. Wave front propagation in a competition equation with a new motility term modelling contact inhibition between cell populations. Proc. R. Soc. Land. A 456 (2000), 2365-2386.
12. F. E. Smith. Population dynamics in Daphnia magna. Ecology 44 (1963), 651-663.
13. J. W.-H. So and J. S. Yu. On the uniform stability for a 'food limited' population model with time delay. Proc. R. Soc. Edinb. A 125 (1995), 991-1005.
14. J. W.-H. So and X. Zou. Travelling waves for the diffusive Nicholson's blowflies equation. Appl. Math. Comp. 122 (2001), 385-392.
15. J. Wu and X. Zou. Travelling wave fronts of reaction-diffusion systems with delay. J. Dynam. Diff. Eqns 13 (2001), 651-687.