메뉴 건너뛰기




Volumn 70, Issue 3, 2008, Pages 654-676

Continuous traveling waves for prey-taxis

Author keywords

Biocontrol; Invasion; Predator prey models; Prey taxis

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; MATHEMATICAL COMPUTING; POPULATION DYNAMICS; POPULATION MIGRATION; PREDATION;

EID: 41049103800     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-007-9271-4     Document Type: Article
Times cited : (56)

References (33)
  • 1
    • 0034255819 scopus 로고    scopus 로고
    • The nature of predation: Prey dependent, ratio-dependent or neither?
    • Abrams, P.A., Ginzburg, L.R., 2000. The nature of predation: prey dependent, ratio-dependent or neither? Trends Ecol. Evol. 15, 337-341.
    • (2000) Trends Ecol. Evol. , vol.15 , pp. 337-341
    • Abrams, P.A.1    Ginzburg, L.R.2
  • 3
    • 0036240064 scopus 로고    scopus 로고
    • A predator-prey model with predators using hawk and dove tactics
    • Auger, P., de la Parra, R.B., Morand, S., Sanchez, E., 2002. A predator-prey model with predators using hawk and dove tactics. Math. Biosci. 177-178, 185-200.
    • (2002) Math. Biosci. , vol.177-178 , pp. 185-200
    • Auger, P.1    De La Parra, R.B.2    Morand, S.3    Sanchez, E.4
  • 4
    • 0028890551 scopus 로고
    • Credible, realistic and useful predator-prey models
    • Berryman, A.A., Gutierrez, A.P., Arditi, R., 1995. Credible, realistic and useful predator-prey models. Ecology 76, 1980-1885.
    • (1995) Ecology , vol.76 , pp. 1980-1885
    • Berryman, A.A.1    Gutierrez, A.P.2    Arditi, R.3
  • 5
    • 0030174035 scopus 로고    scopus 로고
    • Models for predator-prey systems at multiple scales
    • Cantrell, R.S., Cosner, C., 1996. Models for predator-prey systems at multiple scales. SIAM Rev. 38, 256-286.
    • (1996) SIAM Rev. , vol.38 , pp. 256-286
    • Cantrell, R.S.1    Cosner, C.2
  • 9
    • 0020568654 scopus 로고
    • Traveling wave solutions of diffusive Lotka-Volterra equations
    • Dunbar, S.R., 1983. Traveling wave solutions of diffusive Lotka-Volterra equations. J. Math. Biol. 17, 11-32.
    • (1983) J. Math. Biol. , vol.17 , pp. 11-32
    • Dunbar, S.R.1
  • 11
    • 0022890422 scopus 로고
    • Traveling waves in diffusive predator-prey equations: Periodic orbits and point-to periodic heteroclinic orbits
    • Dunbar, S.R., 1986. Traveling waves in diffusive predator-prey equations: periodic orbits and point-to periodic heteroclinic orbits. SIAM J. Appl. Math. 46, 1057-1078.
    • (1986) SIAM J. Appl. Math. , vol.46 , pp. 1057-1078
    • Dunbar, S.R.1
  • 12
    • 0027707747 scopus 로고
    • Foraging behavior of ladybird larvae
    • Ferran, A.F.G., Dixon, A., 1993. Foraging behavior of ladybird larvae. Eur. J. Entomol. 90, 383-402.
    • (1993) Eur. J. Entomol. , vol.90 , pp. 383-402
    • Ferran, A.F.G.1    Dixon, A.2
  • 13
    • 0002663858 scopus 로고
    • Existence of traveling wave solutions of predator-prey systems via the connection index
    • Gardner, R., 1984. Existence of traveling wave solutions of predator-prey systems via the connection index. SIAM J. Appl. Math. 44, 56-79.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 56-79
    • Gardner, R.1
  • 14
    • 0000729794 scopus 로고
    • A unified approach to multispecies modeling
    • Getz, W.M., 1991. A unified approach to multispecies modeling. Nat. Resour. Model. 5, 393-421.
    • (1991) Nat. Resour. Model. , vol.5 , pp. 393-421
    • Getz, W.M.1
  • 17
    • 0031583945 scopus 로고    scopus 로고
    • Unexpected spatial patterns in an insect outbreak match a predator diffusion model
    • Hastings, A., Harrison, S., McCann, K., 1997. Unexpected spatial patterns in an insect outbreak match a predator diffusion model. Proc. R. Soc. Lond. B 264, 1837-1840.
    • (1997) Proc. R. Soc. Lond. B , vol.264 , pp. 1837-1840
    • Hastings, A.1    Harrison, S.2    McCann, K.3
  • 18
    • 4744373150 scopus 로고    scopus 로고
    • From 1970 until present:the Keller-Segel model in chemotaxis and its consequences
    • 3
    • Horstmann, D., 2003. From 1970 until present:the Keller-Segel model in chemotaxis and its consequences. i. Jahresbericht DMV 105(3), 103-165.
    • (2003) I. Jahresbericht DMV , vol.105 , pp. 103-165
    • Horstmann, D.1
  • 19
    • 0141611851 scopus 로고    scopus 로고
    • Existence of traveling wave solutions in a diffusive predator-prey model
    • Huang, J., Lu, G., Ruan, S., 2003. Existence of traveling wave solutions in a diffusive predator-prey model. J. Math. Biol. 46, 132-152.
    • (2003) J. Math. Biol. , vol.46 , pp. 132-152
    • Huang, J.1    Lu, G.2    Ruan, S.3
  • 20
    • 0033061694 scopus 로고    scopus 로고
    • About deterministic extinction in ratio-dependent predator-prey models
    • Jost, C., Arino, O., Arditi, R., 1999. About deterministic extinction in ratio-dependent predator-prey models. Bull. Math. Biol. 61, 19-32.
    • (1999) Bull. Math. Biol. , vol.61 , pp. 19-32
    • Jost, C.1    Arino, O.2    Arditi, R.3
  • 21
    • 0023504111 scopus 로고
    • Swarms of predators exhibit 'preytaxis' if individual predators use area-restricted search
    • Kareiva, P., Odell, G., 1987. Swarms of predators exhibit 'preytaxis' if individual predators use area-restricted search. Am. Nat. 130, 233-270.
    • (1987) Am. Nat. , vol.130 , pp. 233-270
    • Kareiva, P.1    Odell, G.2
  • 22
    • 0000252357 scopus 로고    scopus 로고
    • Global qualitative analysis of a ratio-dependent predator-prey system
    • Kuang, Y., Beretta, E., 1998. Global qualitative analysis of a ratio-dependent predator-prey system. J. Math. Biol. 36, 389-406.
    • (1998) J. Math. Biol. , vol.36 , pp. 389-406
    • Kuang, Y.1    Beretta, E.2
  • 23
    • 41049111054 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Alberta, Edmonton, AB, Canada
    • Lee, J., Prey-taxis and its applications. Ph.D. thesis, University of Alberta, Edmonton, AB, Canada (2006)
    • (2006) Prey-taxis and Its Applications
    • Lee, J.1
  • 24
    • 0027524391 scopus 로고
    • Allee dynamics and the spread of invading organisms
    • 2
    • Lewis, M.A., Kareiva, P., 1993. Allee dynamics and the spread of invading organisms. Theor. Popul. Biol. 43(2), 141-157.
    • (1993) Theor. Popul. Biol. , vol.43 , pp. 141-157
    • Lewis, M.A.1    Kareiva, P.2
  • 26
    • 0015757937 scopus 로고
    • Chemotaxis, signal relaying and aggregation morphology
    • Nanjundiah, V., 1973. Chemotaxis, signal relaying and aggregation morphology. J. Theor. Biol. 42, 63-105.
    • (1973) J. Theor. Biol. , vol.42 , pp. 63-105
    • Nanjundiah, V.1
  • 28
    • 0034895545 scopus 로고    scopus 로고
    • How predation can slow, stop or reverse a prey invasion
    • Owen, M.R., Lewis, M.A., 2001. How predation can slow, stop or reverse a prey invasion. Bull. Math. Biol. 63, 655-684.
    • (2001) Bull. Math. Biol. , vol.63 , pp. 655-684
    • Owen, M.R.1    Lewis, M.A.2
  • 32
    • 0033112265 scopus 로고    scopus 로고
    • Model and analysis of chemotactic bacterial patterns in a liquid medium
    • Tyson, R., Lubkin, S.R., Murray, J.D., 1999. Model and analysis of chemotactic bacterial patterns in a liquid medium. J. Math. Biol. 38, 359-375.
    • (1999) J. Math. Biol. , vol.38 , pp. 359-375
    • Tyson, R.1    Lubkin, S.R.2    Murray, J.D.3
  • 33
    • 0000678046 scopus 로고
    • Lotka-Volterra population models
    • Wangersky, P.J., 1978. Lotka-Volterra population models. Ann. Rev. Ecol. Syst. 9, 189-218.
    • (1978) Ann. Rev. Ecol. Syst. , vol.9 , pp. 189-218
    • Wangersky, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.