Modelling the biological invasion of Carcinus maenas (the European green crab)

References

• N.S. Banas, P.S. McDonald, and D.A. Armstrong, Green crab larval retention in Willapa Bay, Washington: An intensive Lagrangian modeling approach, Estuar. Coast. 32 (2009), pp. 893–905. doi: 10.1007/s12237-009-9175-7
   Google Scholar
• C.J.A. Bradshaw and C.R. McMahon, Population ecology: Fecundity, in Encyclopedia of Ecology, S.E. Jørgensen and B.D. Fath, eds., Elsevier, Oxford, 2008, pp. 1535–1543.
   Google Scholar
• J.E. Byers and J.M. Pringle, Going against the flow: Retention, range limits and invasions in advective environments, Mar. Ecol. Prog. Ser. 313 (2006), pp. 27–41. doi: 10.3354/meps313027
   Google Scholar
• A.N. Cohen, J.T. Carlton, and M.C. Fountain, Introduction, dispersal and potential impacts of the green crab Carcinus maenas in San Francisco Bay, California, Mar. Biol. 122 (1995), pp. 225–237.
   Google Scholar
• R.I. Colautti, S.A. Bailey, C.D.A. Overdijkvon, K. Amundsen, and H.J. MacIsaac, Characterised and projected costs of nonindigenous species in Canada, Biol. Invasions 8 (2006), pp. 45–59. doi: 10.1007/s10530-005-0236-y
   Google Scholar
• R.C. Davis and F.T. Short, Restoring eelgrass, Zostera marina l., habitat using a new transplanting technique: The horizontal rhizome method, Aquat. Botany 59 (1997), pp. 1–15. doi: 10.1016/S0304-3770(97)00034-X
   Google Scholar
• L. Edelstein-Keshet, Mathematical Models in Biology, SIAM, Philadelphia, PA, 2005.
   Google Scholar
• P.C. Fife and J.B. McLeod, The approach of solutions of nonlinear diffusion equations to travelling front solutions, Arch. Ration. Mech. Anal. 65 (1977), pp. 335–361. doi: 10.1007/BF00250432
   Google Scholar
• T. Floyd and J. Williams, Impact of green crab (Carcinus maenas l.) predation on a population of soft-shell clams (Mya arenaria l.) in the Southern Gulf of St. Lawrence, J. Shellfish Res. 23 (2004), pp. 457–462.
   Google Scholar
• J.B. Glude, The effects of temperature and predators on the abundance of the soft-shell clam, Mya arenaria, in New England, Trans. Am. Fisheries Soc. 84 (1955), pp. 13–26. doi: 10.1577/1548-8659(1954)84[13:TEOTAP]2.0.CO;2
   Google Scholar
• J.H. Goddard, M.E. Torchin, A.M. Kuris, and K.D. Lafferty, Host specificity of Sacculina carcini, a potential biological control agent of the introduced European green crab Carcinus maenas in California, Biol. Invasions 7 (2005), pp. 895–912. doi: 10.1007/s10530-003-2981-0
   Google Scholar
• E.D. Grosholz, Contrasting rates of spread for introduced species in terrestrial and marine systems, Ecology 77 (1996), pp. 1680–1686. doi: 10.2307/2265773
   Google Scholar
• E.D. Grosholz, G.M. Ruiz, C.A. Dean, K.A. Shirley, J.L. Maron, and P.G. Connors, The impacts of a nonindigenous marine predator in a California bay, Ecology 81 (2000), pp. 1206–1224. doi: 10.1890/0012-9658(2000)081[1206:TIOANM]2.0.CO;2
   Google Scholar
• J. Heavilin and J. Powell, A novel method of fitting spatio-temporal models to data, with applications to the dynamics of mountain pine beetles, Nat. Resour. Model. 21 (2008), pp. 489–524. doi: 10.1111/j.1939-7445.2008.00021.x
   Google Scholar
• S.-B. Hsu and X.-Q. Zhao, Spreading speeds and traveling waves for nonmonotone integrodifference equations, SIAM J. Math. Anal. 40 (2008), pp. 776–789. doi: 10.1137/070703016
   Google Scholar
• H.L. Hunt and L.S. Mullineaux, The roles of predation and postlarval transport in recruitment of the soft shell clam (Mya arenaria), Limnol. Oceanogr. 47 (2002), pp. 151–164. doi: 10.4319/lo.2002.47.1.0151
   Google Scholar
• M. Iida, R. Lui, and H. Ninomiya, Stacked fronts for cooperative systems with equal diffusion coefficients, SIAM J. Math. Anal. 43 (2011), pp. 1369–1389. doi: 10.1137/100792846
   Google Scholar
• L. Kanary, J. Musgrave, R.C. Tyson, A. Locke, and F. Lutscher, Modelling the dynamics of invasion and control of competing green crab genotypes, Theor. Ecol. 7 (2014), pp. 391–406. doi: 10.1007/s12080-014-0226-8
   Google Scholar
• G. Klassen and A. Locke, A biological synopsis of the European green crab, Carcinus maenas, Canadian Manuscript Report of Fisheries and Aquatic Sciences, 2007.
   Google Scholar
• M. Kot, Discrete-time traveling waves: Ecological examples, J. Math. Biol. 30 (1992), pp. 413–436. doi: 10.1007/BF00173295
   Google Scholar
• M. Kot, M.A. Lewis, and P. Driesschevan den, Dispersal data and the spread of invading organisms, Ecology 77 (1996), pp. 2027–2042. doi: 10.2307/2265698
   Google Scholar
• A.M. Kuris, K.D. Lafferty, and M.E. Torchin, Biological control of the European green crab, Carcinus maenas: Natural enemy evaluation and analysis of host specificity, 2nd International Symposium Biological Control of Arthropods, Davos, 2005.
   Google Scholar
• R. Lui, Biological growth and spread modeled by systems of recursions. I. Mathematical theory, Math. Biosci. 93 (1989), pp. 269–295. doi: 10.1016/0025-5564(89)90026-6
   Google Scholar
• F. Lutscher, E. Pachepsky, and M.A. Lewis, The effect of dispersal patterns on stream populations, SIAM Rev. 47 (2005), pp. 749–772. doi: 10.1137/050636152
   Google Scholar
• S.P. McDonald, G.C. Jensen, and D.A. Armstrong, The competitive and predatory impacts of the nonindigenous crab Carcinus maenas (L.) on early benthic phase Dungeness crab Cancer magister Dana, J. Exp. Mar. Biol. Ecol. 258 (2001), pp. 39–54. doi: 10.1016/S0022-0981(00)00344-0
   Google Scholar
• S.H. Miller and S.G. Morgan, Temporal variation in cannibalistic infanticide by the shore crab Hemigrapsus oregonensis: Implications for reproductive success, Mar. Ecol. 36 (2015), pp. 842–847.
   Google Scholar
• P.-O. Moksnes, Self-regulating mechanisms in cannibalistic populations of juvenile shore crabs Carcinus maenas, Ecology 85 (2004), pp. 1343–1354. doi: 10.1890/02-0750
   Google Scholar
• T.F. Nalepa and D.W. Schloesser, Zebra Mussels: Biology, Impacts, and Control, CRC Press, Boca Raton, FL, 1992.
   Google Scholar
• M.G. Neubert and H. Caswell, Demography and dispersal: Calculation and sensitivity analysis of invasion speed for structured populations, Ecology 81 (2000), pp. 1613–1628. doi: 10.1890/0012-9658(2000)081[1613:DADCAS]2.0.CO;2
   Google Scholar
• J. Pineda, Linking larval settlement to larval transport: Assumptions, potentials, and pitfalls, Oceanogr. Eastern Pacific 1 (2000), pp. 84–105.
   Google Scholar
• G. Rilov and J.A. Crooks, Biological Invasions in Marine Ecosystems: Ecological, Management, and Geographic Perspectives, Springer, Berlin, 2008.
   Google Scholar
• J. Roman, Diluting the founder effect: Cryptic invasions expand a marine invader's range, Proc. Roy. Soc. B: Biol. Sci. 273 (2006), pp. 2453–2459. doi: 10.1098/rspb.2006.3597
   Google Scholar
• J.-M. Roquejoffre, D. Terman, and V.A. Volpert, Global stability of traveling fronts and convergence towards stacked families of waves in monotone parabolic systems, SIAM J. Math. Anal. 27 (1996), pp. 1261–1269. doi: 10.1137/S0036141094267522
   Google Scholar
• R.J. Sacker, Introduction to the 2009 re-publication of the ‘Neimark-Sacker bifurcation theorem’, J. Differ. Equ. Appl. 15 (2009), pp. 753–758. doi: 10.1080/10236190802357750
   Google Scholar
• E. Stokstad, Biologists rush to protect great lakes from onslaught of carp, Science 327 (2010), pp. 932. doi: 10.1126/science.327.5968.932
   Google Scholar
• D.L. Taylor, Predatory impact of the green crab (Carcinus maenas Linnaeus) on post-settlement winter flounder (Pseudopleuronectes americanus Walbaum) as revealed by immunological dietary analysis, J. Exp. Mar. Biol. Ecol. 324 (2005), pp. 112–126. doi: 10.1016/j.jembe.2005.04.014
   Google Scholar
• R.E. Thresher, M. Werner, J.T. Hoeg, I. Svane, H. Glenner, N. Murphy, and C. Wittwer, Developing the options for managing marine pests: Specificity trials on the parasitic castrator, Sacculina carcini, against the European crab, Carcinus maenas, and related species, J. Exp. Mar. Biol. Ecol. 254 (2000), pp. 37–51. doi: 10.1016/S0022-0981(00)00260-4
   Google Scholar
• M.E. Torchin, K.D. Lafferty, and A.M. Kuris, Release from parasites as natural enemies: Increased performance of a globally introduced marine crab, Biol. Invasions 3 (2001), pp. 333–345. doi: 10.1023/A:1015855019360
   Google Scholar
• R.W. Van Kirk and M.A. Lewis, Integrodifference models for persistence in fragmented habitats, Bull. Math. Biol. 59 (1997), pp. 107–137. doi: 10.1007/BF02459473
   Google Scholar
• M.-H. Wang, M. Kot, and M.G. Neubert, Integrodifference equations, Allee effects, and invasions, J. Math. Biol. 44 (2002), pp. 150–168. doi: 10.1007/s002850100116
   Google Scholar
• H.F. Weinberger, K. Kawasaki, and N. Shigesada, Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions, J. Math. Biol. 57 (2008), pp. 387–411. doi: 10.1007/s00285-008-0168-0
   Google Scholar