Role of depletion on the dynamics of a diffusing forager

Journal of Physics A: Mathematical and Theoretical

Volumn 49, Issue 39, 2016, Pages

  Benichou O ^a   Chupeau, M ^a   Redner, S ^b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b SANTA FE INSTITUTE   (United States)

Author keywords

depletion; diffusion; foraging; starvation

Indexed keywords

EID: 84988924225     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/49/39/394003     Document Type: Article

References (27)

1. Charnov E L 1976 Theor. Popul. Biol. 9 129
2. Bell J W 1991 Searching Behaviour, the Behavioural Ecology of Finding Resources, Animal Behaviour Series (London: Chapman and Hall)
3. O'Brien W J, Browman H I and Evans B I 1990 Am. Sci. 78 152
4. Kramer L D and McLaughlin R L 2001 Am. Zool. 41 137
5. Anderson J P, Stephens D W and Dunbar S R 1997 Behav. Ecol. 8 307
6. Knoppien P and Reddingius J 1985 J. Theor. Biol. 114 273
7. Stephens D W and Krebs J R 1986 Foraging Theory (Princeton, NJ: Princeton University Press)
8. Viswanathan G M et al 1996 Nature 381 413
9. Viswanathan G M et al 1999 Nature 401 911
10. Levandowsky M, Klafter J and White B S 1988 Bull. Mar. Sci. 43 758
11. Chupeau M, Bénichou O and Redner S 2016 Phys. Rev. E 93 032403
12. Bénichou O and Redner S 2014 Phys. Rev. Lett. 113 238101
13. Perman M and Werner W 1997 Probab. Theory Relat. Fields 108 357
14. Davis B 1999 Probab. Theory Relat. Fields 113 501
15. Pemantle R 2007 Probab. Surv. 4 1
16. Benjamini I and Wilson D B 2003 Electr. Commun. Probab. 8 86
17. Angel O, Benjamini I and Virag B 2003 Electr. Commun. Probab. 8 6
18. Zerner M P W 2005 Probab. Theory Relat. Fields 133 98
19. Antal T and Redner S 2005 J. Phys. A: Math. Gen. 38 2555
20. Lohmar I and Krug J 2009 J. Stat. Phys. 134 307
21. Bonner R F, Nossal R, Havlin S and Weiss G H 1987 J. Opt. Soc. Am. A 4 423
22. Yuste S B, Abad E and Lindenberg K 2013 Phys. Rev. Lett. 110 220603
23. Abad E, Yuste S and Lindenberg K 2013 Phys. Rev. E 88 062110
24. Feller W 1968 An Introduction to Probability Theory and Its Applications (New York: Wiley)
25. Weiss G H 1994 Aspects and Application of the Random Walk (Amsterdam: North-Holland)
26. Redner S 2001 A Guide to First-Passage Processes (Cambridge: Cambridge University Press)
27. Bénichou O, Chupeau M and Redner S unpublished