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Volumn 430, Issue 1, 2015, Pages 438-464

Permanence and extinction for a single-species system with jump-diffusion

Author keywords

Dispersal; Extinction; Jump; Permanence; Stochastic perturbation

Indexed keywords


EID: 84929504919     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2015.04.050     Document Type: Article
Times cited : (24)

References (37)
  • 3
    • 80051597036 scopus 로고    scopus 로고
    • Competitive Lotka-Volterra population dynamics with jumps
    • Bao J., Mao X., Yin G., Yuan C. Competitive Lotka-Volterra population dynamics with jumps. Nonlinear Anal. 2011, 77:6601-6616.
    • (2011) Nonlinear Anal. , vol.77 , pp. 6601-6616
    • Bao, J.1    Mao, X.2    Yin, G.3    Yuan, C.4
  • 4
    • 84858280723 scopus 로고    scopus 로고
    • Stochastic population dynamics driven by Lévy noise
    • Bao J., Yuan C. Stochastic population dynamics driven by Lévy noise. J. Math. Anal. Appl. 2012, 391:363-375.
    • (2012) J. Math. Anal. Appl. , vol.391 , pp. 363-375
    • Bao, J.1    Yuan, C.2
  • 6
    • 0036772463 scopus 로고    scopus 로고
    • The effect of dispersal on permanence in a predator prey population growth model
    • Cui J. The effect of dispersal on permanence in a predator prey population growth model. Comput. Math. Appl. 2002, 44:1085-1097.
    • (2002) Comput. Math. Appl. , vol.44 , pp. 1085-1097
    • Cui, J.1
  • 7
    • 0032142293 scopus 로고    scopus 로고
    • The effect of diffusion on the time varying logistic population growth
    • Cui J., Chen L. The effect of diffusion on the time varying logistic population growth. Comput. Math. Appl. 1998, 36:1-9.
    • (1998) Comput. Math. Appl. , vol.36 , pp. 1-9
    • Cui, J.1    Chen, L.2
  • 8
    • 0035877556 scopus 로고    scopus 로고
    • Permanence and extinction in logistic and Lotka-Volterra systems with diffusion
    • Cui J., Chen L. Permanence and extinction in logistic and Lotka-Volterra systems with diffusion. J. Math. Anal. Appl. 2001, 258:512-535.
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 512-535
    • Cui, J.1    Chen, L.2
  • 9
    • 10644272712 scopus 로고    scopus 로고
    • Permanence of a single-species dispersal system and predator survival
    • Cui J., Takeuchi Y. Permanence of a single-species dispersal system and predator survival. J. Comput. Appl. Math. 2005, 175:375-394.
    • (2005) J. Comput. Appl. Math. , vol.175 , pp. 375-394
    • Cui, J.1    Takeuchi, Y.2
  • 10
    • 4544243200 scopus 로고    scopus 로고
    • Permanence and extinction for dispersal population systems
    • Cui J., Takeuchi Y., Lin Z. Permanence and extinction for dispersal population systems. J. Math. Anal. Appl. 2004, 298:73-93.
    • (2004) J. Math. Anal. Appl. , vol.298 , pp. 73-93
    • Cui, J.1    Takeuchi, Y.2    Lin, Z.3
  • 11
    • 38949193330 scopus 로고    scopus 로고
    • A stochastic model for internal HIV dynamics
    • Dalal N., Greenhalgh D., Mao X. A stochastic model for internal HIV dynamics. J. Math. Anal. Appl. 2008, 341:1084-1101.
    • (2008) J. Math. Anal. Appl. , vol.341 , pp. 1084-1101
    • Dalal, N.1    Greenhalgh, D.2    Mao, X.3
  • 12
    • 4344689629 scopus 로고
    • Persistence in stochastic food web models
    • Gard T.C. Persistence in stochastic food web models. Bull. Math. Biol. 1984, 46:357-370.
    • (1984) Bull. Math. Biol. , vol.46 , pp. 357-370
    • Gard, T.C.1
  • 13
    • 38249040858 scopus 로고
    • Stability for multispecies population models in random environments
    • Gard T.C. Stability for multispecies population models in random environments. Nonlinear Anal. 1986, 10:1411-1419.
    • (1986) Nonlinear Anal. , vol.10 , pp. 1411-1419
    • Gard, T.C.1
  • 16
    • 0023557092 scopus 로고
    • Bioeconomic model of the Lake Michigan alewife fishery
    • Hanson F.B. Bioeconomic model of the Lake Michigan alewife fishery. Can. J. Fish. Aquat. Sci. 1987, 44:298-305.
    • (1987) Can. J. Fish. Aquat. Sci. , vol.44 , pp. 298-305
    • Hanson, F.B.1
  • 17
    • 0018003605 scopus 로고
    • Persistence times of populations with large random fluctuations
    • Hanson F.B., Tuckwell H.C. Persistence times of populations with large random fluctuations. Theor. Popul. Biol. 1978, 14:46-61.
    • (1978) Theor. Popul. Biol. , vol.14 , pp. 46-61
    • Hanson, F.B.1    Tuckwell, H.C.2
  • 18
    • 0008246592 scopus 로고
    • Logistic growth with random density independent disasters
    • Hanson F.B., Tuckwell H.C. Logistic growth with random density independent disasters. Theor. Popul. Biol. 1981, 19:1-18.
    • (1981) Theor. Popul. Biol. , vol.19 , pp. 1-18
    • Hanson, F.B.1    Tuckwell, H.C.2
  • 19
    • 0013443735 scopus 로고    scopus 로고
    • Population growth with randomly distributed jumps
    • Hanson F.B., Tuckwell H.C. Population growth with randomly distributed jumps. J. Math. Biol. 1997, 36:169-187.
    • (1997) J. Math. Biol. , vol.36 , pp. 169-187
    • Hanson, F.B.1    Tuckwell, H.C.2
  • 20
    • 37449001667 scopus 로고    scopus 로고
    • Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
    • Jiang D., Shi N., Li X. Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation. J. Math. Anal. Appl. 2008, 340:588-597.
    • (2008) J. Math. Anal. Appl. , vol.340 , pp. 588-597
    • Jiang, D.1    Shi, N.2    Li, X.3
  • 21
    • 0035052008 scopus 로고    scopus 로고
    • A stochastic modeling of early HIV-1 population dynamics
    • Kamina A., Makuch R.W., Zhao H. A stochastic modeling of early HIV-1 population dynamics. Math. Biosci. 2001, 170:187-198.
    • (2001) Math. Biosci. , vol.170 , pp. 187-198
    • Kamina, A.1    Makuch, R.W.2    Zhao, H.3
  • 22
    • 77949485245 scopus 로고    scopus 로고
    • ItÔ's stochastic calculus: its surprising power for applications
    • Kunita H. ItÔ's stochastic calculus: its surprising power for applications. Stochastic Process. Appl. 2010, 120:622-652.
    • (2010) Stochastic Process. Appl. , vol.120 , pp. 622-652
    • Kunita, H.1
  • 23
    • 0024164592 scopus 로고
    • Genetics and demography in biological conservation
    • Lande R. Genetics and demography in biological conservation. Science 1988, 241:1455-1460.
    • (1988) Science , vol.241 , pp. 1455-1460
    • Lande, R.1
  • 24
    • 0027331845 scopus 로고
    • Risks of population extinction from demographic and environmental stochasticity and random catastrophes
    • Lande R. Risks of population extinction from demographic and environmental stochasticity and random catastrophes. Amer. Nat. 1993, 142:911-927.
    • (1993) Amer. Nat. , vol.142 , pp. 911-927
    • Lande, R.1
  • 25
    • 0039337197 scopus 로고
    • A strong law of large numbers for local martingales
    • Lipster R. A strong law of large numbers for local martingales. Stochastics 1980, 3:217-228.
    • (1980) Stochastics , vol.3 , pp. 217-228
    • Lipster, R.1
  • 26
    • 78149415331 scopus 로고    scopus 로고
    • Persistence and extinction in stochastic non-autonomous logistic systems
    • Liu M., Wang K. Persistence and extinction in stochastic non-autonomous logistic systems. J. Math. Anal. Appl. 2011, 375:443-457.
    • (2011) J. Math. Anal. Appl. , vol.375 , pp. 443-457
    • Liu, M.1    Wang, K.2
  • 27
    • 84875736026 scopus 로고    scopus 로고
    • Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps
    • Liu M., Wang K. Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps. Nonlinear Anal. 2013, 85:204-213.
    • (2013) Nonlinear Anal. , vol.85 , pp. 204-213
    • Liu, M.1    Wang, K.2
  • 29
    • 14644388229 scopus 로고    scopus 로고
    • Stochastic differential delay equations of population dynamics
    • Mao X., Yuan C., Zou J. Stochastic differential delay equations of population dynamics. J. Math. Anal. Appl. 2005, 304:296-320.
    • (2005) J. Math. Anal. Appl. , vol.304 , pp. 296-320
    • Mao, X.1    Yuan, C.2    Zou, J.3
  • 31
    • 31344446224 scopus 로고    scopus 로고
    • Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
    • Peng S., Zhu X. Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations. Stochastic Process. Appl. 2006, 116:370-380.
    • (2006) Stochastic Process. Appl. , vol.116 , pp. 370-380
    • Peng, S.1    Zhu, X.2
  • 33
    • 0032556667 scopus 로고    scopus 로고
    • A stochastic model for early HIV-1 population dynamics
    • Tuckwell H.C., Corfec E.L. A stochastic model for early HIV-1 population dynamics. J. Theoret. Biol. 1998, 195:451-463.
    • (1998) J. Theoret. Biol. , vol.195 , pp. 451-463
    • Tuckwell, H.C.1    Corfec, E.L.2
  • 34
    • 68349154085 scopus 로고    scopus 로고
    • Stochastic Lotka-Volterra population dynamics with infinite delay
    • Wu F., Xu Y. Stochastic Lotka-Volterra population dynamics with infinite delay. SIAM J. Appl. Math. 2009, 70:641-657.
    • (2009) SIAM J. Appl. Math. , vol.70 , pp. 641-657
    • Wu, F.1    Xu, Y.2
  • 35
    • 84865532528 scopus 로고    scopus 로고
    • Environmental noise impact on regularity and extinction of population systems with infinite delay
    • Wu F., Yin G. Environmental noise impact on regularity and extinction of population systems with infinite delay. J. Math. Anal. Appl. 2012, 396:772-785.
    • (2012) J. Math. Anal. Appl. , vol.396 , pp. 772-785
    • Wu, F.1    Yin, G.2
  • 36
    • 84874865319 scopus 로고    scopus 로고
    • Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate
    • Xu C., Yuan S., Zhang T. Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate. Abstr. Appl. Anal. 2013, 2013. Article ID 423154.
    • (2013) Abstr. Appl. Anal. , vol.2013
    • Xu, C.1    Yuan, S.2    Zhang, T.3
  • 37
    • 84872020070 scopus 로고    scopus 로고
    • Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
    • Yang Q., Mao X. Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations. Nonlinear Anal. Real World Appl. 2013, 14:1434-1456.
    • (2013) Nonlinear Anal. Real World Appl. , vol.14 , pp. 1434-1456
    • Yang, Q.1    Mao, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.