Open Access
Issue |
Math. Model. Nat. Phenom.
Volume 19, 2024
|
|
---|---|---|
Article Number | 2 | |
Number of page(s) | 18 | |
Section | Population dynamics and epidemiology | |
DOI | https://doi.org/10.1051/mmnp/2023033 | |
Published online | 12 January 2024 |
- A. Arinyo-i Prats, P. Moreno-Spiegelberg, M.A. Matias and D. Gomila, Traveling pulses in type-I excitable media. Phys. Rev. E 104 (2021) L052203. [CrossRef] [PubMed] [Google Scholar]
- M.W. Beck, K.L. Heck, K.W. Able, D.L. Childers, D.B. Eggleston, B.M. Gillanders, B. Halpern, C.G. Hays, K. Hoshino, T.J. Minello, R.J. Orth, P.F. Sheridan and M.P. Weinstein, The identification, conservation, and management of estuarine and marine nurseries for fish and invertebrates. Bioscience 51 (2001) 633–641. [CrossRef] [Google Scholar]
- L. Brenig, Complete factorization and analytic solutions of generalized lotka-volterra equations. Phys. Lett. A 133 (1988) 378–382. [CrossRef] [MathSciNet] [Google Scholar]
- C.J. Collier, S. Uthicke and M. Waycott, Thermal tolerance of two seagrass species at contrasting light levels: implications for future distribution in the Great Barrier Reef. Limnol. Oceanogr. 56 (2011) 2200–2210. [CrossRef] [Google Scholar]
- R. Costanza, R. D’Arge, R. de Groot, S. Farber, M. Grasso, B. Hannon, K. Limburg, S. Naeem, R.V. O’Neill, J. Paruelo, R.G. Raskin, P. Sutton and M. van den Belt, The value of the world’s ecosystem services and natural capital. Nature 387 (1997) 253–260. [CrossRef] [Google Scholar]
- F. Courchamp, L. Berec and J. Gascoigne, Allee Effects in Ecology and Conservation. OUP, Oxford (2009). [Google Scholar]
- G. Dangelmayr, Steady-state mode interactions in the presence of 0(2)-symmetry. Dyn. Stabil. Syst. 1 (1986) 159–185. [Google Scholar]
- C. M. Duarte, J. J. Middelburg and N. Caraco. Major role of marine vegetation on the oceanic carbon cycle. Biogeosciences, 2 (2005) 1–8. [CrossRef] [Google Scholar]
- M.S. Fonseca and J.A. Cahalan, A preliminary evaluation of wave attenuation by four species of seagrass. Estuar. Coast. Shelf Sci. 35 (1992) 565–576. [CrossRef] [Google Scholar]
- D. Gomila, P. Colet, G.-L. Oppo and M. San Miguel, Stable droplets and growth laws close to the modulational instability of a domain wall. Phys. Rev. Lett. 87 (2001) 194101. [CrossRef] [PubMed] [Google Scholar]
- B.S. Halpern, K.A. Selkoe, F. Micheli and C.V. Kappel, Evaluating and ranking the vulnerability of global marine ecosystems to anthropogenic threats. Conserv. Biol. 21 (2007) 1301–1315. [CrossRef] [PubMed] [Google Scholar]
- B.S. Halpern, S. Walbridge, K.A. Selkoe, C.V. Kappel, F. Micheli, C. D’Agrosa, J.F. Bruno, K.S. Casey, C. Ebert, H.E. Fox, R. Fujita, D. Heinemann, H.S. Lenihan, E.M.P. Madin, M.T. Perry, E.R. Selig, M. Spalding, R. Steneck and R. Watson, A global map of human impact on marine ecosystems. Science 319 (2008) 948–952. [CrossRef] [PubMed] [Google Scholar]
- B. Hernádez-Bermejo and V. Fairén, Lotka–Volterra representation of general nonlinear systems. Math. Biosci. 140 (1997) 1–32. [CrossRef] [MathSciNet] [Google Scholar]
- P.C. le Roux and M.A. McGeoch, Interaction intensity and importance along two stress gradients: adding shape to the stress-gradient hypothesis. Oecologia 162 (2010) 733–745. [CrossRef] [PubMed] [Google Scholar]
- E. Llabrés, E. Mayol, N. Marbà and T. Sintes, A mathematical model for inter-specific interactions in seagrasses. Oikos 2022 (2022) e09296. [CrossRef] [Google Scholar]
- E. Llabrés, A. Blanco-magad, M. Sales and T. Sintes, Modelling seagrass competition in the Mediterranean Sea in global warming scenarios. (2022). [Google Scholar]
- E. Mayol, J. Boada, M. Pérez, N. Sanmartí, M. Minguito-Frutos, R. Arthur, T. Alcoverro, D. Alonso and J. Romero, Understanding the depth limit of the seagrass Cymodocea nodosa as a critical transition: field and modeling evidence. Mar. Environ. Res. 182 (2022). [Google Scholar]
- K.J. McGlathery, M.A. Reidenbach, P. D’Odorico, S. Fagherazzi, M.L. Pace and J.H. Porter, Nonlinear dynamics and alternative stable states in shallow coastal systems. Oceanography 26 (2013) 220–231. [CrossRef] [Google Scholar]
- P. Moreno-Spiegelberg, A. Arinyo-i Prats, D. Ruiz-Reynés, M.A. Matias and D. Gomila, Bifurcation structure of traveling pulses in type-I excitable media. Phys. Rev. E 106 (2022) 034206. [CrossRef] [PubMed] [Google Scholar]
- R.J. Orth, T.J.B. Carruthers, W.C. Dennison, C.M. Duarte, J.W. Fourqurean, K.L. Heck, A. Randall Hughes, G.A. Kendrick, W.J. Kenworthy, S. Olyarnik, F.T. Short, M. Waycott and S.L. Williams, A global crisis for seagrass ecosystems. Bioscience 56 (2006) 987–996. [CrossRef] [Google Scholar]
- A. Randall Hughes, S.L. Williams, C.M. Duarte, K.L. Heck and M. Waycott, Associations of concern: Declining seagrasses and threatened dependent species. Front. Ecol. Environ. 7 (2009) 242–246. [CrossRef] [Google Scholar]
- M.L. Rosenzweig, Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science 171 (1971) 385–387. [CrossRef] [PubMed] [Google Scholar]
- D. Ruiz-Reynés, D. Gomila, T. Sintes, E. Hernández-García, N. Marbà and C.M. Duarte, Fairy circle landscapes under the sea. Sci. Adv. 3 (2017) 1–9. [Google Scholar]
- D. Ruiz-Reynés, F. Schönsberg, E. Hernández-García and D. Gomila, General model for vegetation patterns including rhizome growth. Phys. Rev. Res. 2 (2020) 1–8. [Google Scholar]
- V. Ryabinin, J. Barbière, P. Haugan, G. Kullenberg, N. Smith, C. McLean, A. Troisi, A. Fischer, S. Aricò, T. Aarup, P. Pissierssens, M. Visbeck, H.O. Enevoldsen and J. Rigaud, The UN decade of ocean science for sustainable development. Front. Mar. Sci. 6 (2019) 470. [CrossRef] [Google Scholar]
- J.F. Sánchez-González, V. Sánchez-Rojas and C.D. Memos, Wave attenuation due to Posidonia oceanica meadows. J. Hydraul. Res. 49 (2011) 503–514. [CrossRef] [Google Scholar]
- I. Savva, S. Bennett, G. Roca, G. Jordà and N. Marbà, Thermal tolerance of Mediterranean marine macrophytes: vulnerability to global warming. Ecol. Evol. 8 (2018) 12032–12043. [CrossRef] [Google Scholar]
- T. Sintes, N. Marbà, C.M. Duarte and G.A. Kendrick, Nonlinear processes in seagrass colonisation explained by simple clonal growth rules. Oikos 108 (2005) 165–175. [CrossRef] [Google Scholar]
- T. Sintes, N. Marbà and C.M. Duarte, Modeling nonlinear seagrass clonal growth: assessing the efficiency of space occupation across the seagrass flora. Estuar. Coasts 29 (2006) 72–80. [CrossRef] [Google Scholar]
- M. Waycott, C.M. Duarte, T.J.B. Carruthers, R.J. Orth, W.C. Dennison, S. Olyarnik, A. Calladine, J.W. Fourqurean, K.L. Heck, A. Randall Hughes, G.A. Kendrick, W. Judson Kenworthy, F.T. Short and S.L. Williams, Accelerating loss of seagrasses across the globe threatens coastal ecosystems. Proc. Natl. Acad. Sci. U.S.A. 106 (2009) 12377–12381. [CrossRef] [PubMed] [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.