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Volumn 46, Issue 3-4, 2007, Pages 482-498

Predator-prey model with prey-taxis and diffusion

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOTIC SYSTEMS; FUNCTION EVALUATION; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 34247868196     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2006.10.010     Document Type: Article
Times cited : (86)

References (26)
  • 1
    • 0034920909 scopus 로고    scopus 로고
    • Directed movement of predators and the emergence of density-dependence in predator-prey models
    • Arditi R., Tyutyunov Y., Morgulis A., Govorukhin V., and Senina I. Directed movement of predators and the emergence of density-dependence in predator-prey models. Theoret. Pop. Biol. 59 (2001) 207-221
    • (2001) Theoret. Pop. Biol. , vol.59 , pp. 207-221
    • Arditi, R.1    Tyutyunov, Y.2    Morgulis, A.3    Govorukhin, V.4    Senina, I.5
  • 2
    • 0028191811 scopus 로고
    • Graviresponses in Paramecium caudatum and Didinium nasutum examined under varied hypergravity conditions
    • Braucker R., Machemer-Rohnisch S., and Machemer H. Graviresponses in Paramecium caudatum and Didinium nasutum examined under varied hypergravity conditions. J. Exp. Biol. 197 (1994) 271-294
    • (1994) J. Exp. Biol. , vol.197 , pp. 271-294
    • Braucker, R.1    Machemer-Rohnisch, S.2    Machemer, H.3
  • 3
    • 34247869350 scopus 로고    scopus 로고
    • A. Chakraborty, Numerical study of biological problems in a predator-prey system, Masters Thesis, Swinburne University of Technology, Melbourne, Australia, 2006
  • 6
    • 0033590683 scopus 로고    scopus 로고
    • From individuals to aggregations: The interplay between behavior and physics
    • Flierl G., Grunbaum D., Levin S., and Olson D. From individuals to aggregations: The interplay between behavior and physics. J. Theoret. Biol. 196 (1999) 397-454
    • (1999) J. Theoret. Biol. , vol.196 , pp. 397-454
    • Flierl, G.1    Grunbaum, D.2    Levin, S.3    Olson, D.4
  • 7
    • 0017142168 scopus 로고
    • Graphical stability, enrichment, and pest control by a natural enemy
    • Freedman H.I. Graphical stability, enrichment, and pest control by a natural enemy. Math. Biosci. 31 (1976) 207-225
    • (1976) Math. Biosci. , vol.31 , pp. 207-225
    • Freedman, H.I.1
  • 11
    • 0031913729 scopus 로고    scopus 로고
    • Using spatially explicit model to characterize performance in heterogeneous landscape
    • Grünbaum D. Using spatially explicit model to characterize performance in heterogeneous landscape. Amer. Nat. 151 (1998) 97-115
    • (1998) Amer. Nat. , vol.151 , pp. 97-115
    • Grünbaum, D.1
  • 12
    • 0028974350 scopus 로고
    • Comparing predator-prey models to Luckinbill's experiment with Didinium and Paramecium
    • Harrison G.W. Comparing predator-prey models to Luckinbill's experiment with Didinium and Paramecium. Ecology 76 (1995) 357-374
    • (1995) Ecology , vol.76 , pp. 357-374
    • Harrison, G.W.1
  • 13
    • 34247865005 scopus 로고    scopus 로고
    • I. Kozlova, A numerical study of modelling in mathematical biology, Ph.D. Thesis, Swinburne University of Technology, Melbourne, Australia, 2002
  • 14
    • 0037008790 scopus 로고    scopus 로고
    • Predator-prey models with diffusion based on Luckinbill's experiment with Didinium and Paramecium
    • Kozlova I., Singh M., and Easton A. Predator-prey models with diffusion based on Luckinbill's experiment with Didinium and Paramecium. Math. Comput. Modelling 36 (2002) 83-102
    • (2002) Math. Comput. Modelling , vol.36 , pp. 83-102
    • Kozlova, I.1    Singh, M.2    Easton, A.3
  • 15
    • 0000386086 scopus 로고
    • Coexistence in laboratory population of Paramecium aurelia and its predator Didinium nasutum
    • Luckinbill L.S. Coexistence in laboratory population of Paramecium aurelia and its predator Didinium nasutum. Ecology 54 (1973) 1320-1327
    • (1973) Ecology , vol.54 , pp. 1320-1327
    • Luckinbill, L.S.1
  • 16
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • Ciarlet P.G., and Lions J.L. (Eds), Elsevier Science, Amsterdam
    • Marchuk G.I. Splitting and alternating direction methods. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of Numerical Analysis (1990), Elsevier Science, Amsterdam 197-462
    • (1990) Handbook of Numerical Analysis , pp. 197-462
    • Marchuk, G.I.1
  • 17
    • 0020024057 scopus 로고
    • Pattern formation in interacting and diffusive systems in population biology
    • Mimura M., and Yamaguti M. Pattern formation in interacting and diffusive systems in population biology. Adv. Biophys. 15 (1982) 19-65
    • (1982) Adv. Biophys. , vol.15 , pp. 19-65
    • Mimura, M.1    Yamaguti, M.2
  • 20
    • 51249191712 scopus 로고
    • An analysis of the kinemetics of swarming of Anarete pritchardi Kim (Diptera: Cecidomyiidae)
    • Okubo A., and Chiang H.C. An analysis of the kinemetics of swarming of Anarete pritchardi Kim (Diptera: Cecidomyiidae). Res. Pop. Ecol. (Kyoto) 16 (1974) 1-42
    • (1974) Res. Pop. Ecol. (Kyoto) , vol.16 , pp. 1-42
    • Okubo, A.1    Chiang, H.C.2
  • 21
    • 0004500364 scopus 로고
    • Acceleration field of individual midges, Anarete pritchardi (Diptera: Cecidomyiidae ), within a swarm
    • Okubo A., Chiang H.C., and Ebbesmeyer C.C. Acceleration field of individual midges, Anarete pritchardi (Diptera: Cecidomyiidae ), within a swarm. Can. Entom. 109 (1977) 149-156
    • (1977) Can. Entom. , vol.109 , pp. 149-156
    • Okubo, A.1    Chiang, H.C.2    Ebbesmeyer, C.C.3
  • 22
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup and collapse: The ABC's of taxis in reinforced random walks
    • Othmer H.G., and Stevens A. Aggregation, blowup and collapse: The ABC's of taxis in reinforced random walks. SIAM J. Appl. Math. 57 (1997) 1044-1081
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1044-1081
    • Othmer, H.G.1    Stevens, A.2
  • 23
    • 0038505662 scopus 로고    scopus 로고
    • The role of prey-taxis in biological control
    • Sapoukhina N., Tyutyunov Y., and Arditi R. The role of prey-taxis in biological control. Amer. Nat. 162 (2003) 61-76
    • (2003) Amer. Nat. , vol.162 , pp. 61-76
    • Sapoukhina, N.1    Tyutyunov, Y.2    Arditi, R.3
  • 24
    • 85001844316 scopus 로고    scopus 로고
    • Numerical study of the two-dimensional spruce budworm reaction-diffusion equation with density dependent diffusion
    • Singh M., Easton A., Cui G., and Kozlova I. Numerical study of the two-dimensional spruce budworm reaction-diffusion equation with density dependent diffusion. Natur. Resource Modelling 11 (1998) 143-154
    • (1998) Natur. Resource Modelling , vol.11 , pp. 143-154
    • Singh, M.1    Easton, A.2    Cui, G.3    Kozlova, I.4
  • 25
    • 85001844319 scopus 로고    scopus 로고
    • Numerical study of the two-dimensional spruce budworm reaction-diffusion equation with hostile boundaries
    • Singh M., Easton A., and Kozlova I. Numerical study of the two-dimensional spruce budworm reaction-diffusion equation with hostile boundaries. Natur. Resource Modelling 13 (2000) 535-554
    • (2000) Natur. Resource Modelling , vol.13 , pp. 535-554
    • Singh, M.1    Easton, A.2    Kozlova, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.