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Separable solutions to a brood-parasite dynamics model

Year 2018, , 10 - 16, 11.03.2018
https://doi.org/10.32323/ujma.376483

Abstract

Common Cuckoo is a brood-parasite which lays its egg in the nest of other bird species and use them to raise its young. We present a Common Cuckoo and a host bird interaction deterministic model taking into account maternal care of offspring. The model consists of a coupled system of integro-partial differential equations subject to the conditions of the integral type. Number of equations in the system depends on a biologically possible maximal number of eggs of the same clutch laid by a host bird. Separable solutions of this model are studied.

References

  • [1] T.R. Birkhead, N. Hemmings, C.N. Spottiswoode, O. Mikulica, C. Moskat, M. Ban, K. Schulze-Hagen, Internal incubation and early hatching in brood parasitic birds, Proc. Biol. Sci., vol. 278(1708), pp 1019–1024, 2011.
  • [2] R.B. Payne, Avian brood parasitism. In D.H. Clayton and J. Moore (eds.), Host-parasite evolution: General principles and avian models, Oxford University Press, Oxford, pp 338–369, 1997.
  • [3] R.A. Robinson, Cuckoo Cuculus Canorus. BirdFacts: Profiles of Birds Occurring in Britain and Ireland. British Trust for Ornithology. BTO Research Report 407. Retrieved 12 August 2011.
  • [4] V. Skakauskas, A one-sex population dynamics model with discrete set of offsprings and child care, Nonlinear Analysis: Modelling and Control, vol. 13, no. 4, pp 525-552, 2008
Year 2018, , 10 - 16, 11.03.2018
https://doi.org/10.32323/ujma.376483

Abstract

References

  • [1] T.R. Birkhead, N. Hemmings, C.N. Spottiswoode, O. Mikulica, C. Moskat, M. Ban, K. Schulze-Hagen, Internal incubation and early hatching in brood parasitic birds, Proc. Biol. Sci., vol. 278(1708), pp 1019–1024, 2011.
  • [2] R.B. Payne, Avian brood parasitism. In D.H. Clayton and J. Moore (eds.), Host-parasite evolution: General principles and avian models, Oxford University Press, Oxford, pp 338–369, 1997.
  • [3] R.A. Robinson, Cuckoo Cuculus Canorus. BirdFacts: Profiles of Birds Occurring in Britain and Ireland. British Trust for Ornithology. BTO Research Report 407. Retrieved 12 August 2011.
  • [4] V. Skakauskas, A one-sex population dynamics model with discrete set of offsprings and child care, Nonlinear Analysis: Modelling and Control, vol. 13, no. 4, pp 525-552, 2008
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Vladas Skakauskas

Publication Date March 11, 2018
Submission Date January 9, 2018
Acceptance Date January 31, 2018
Published in Issue Year 2018

Cite

APA Skakauskas, V. (2018). Separable solutions to a brood-parasite dynamics model. Universal Journal of Mathematics and Applications, 1(1), 10-16. https://doi.org/10.32323/ujma.376483
AMA Skakauskas V. Separable solutions to a brood-parasite dynamics model. Univ. J. Math. Appl. March 2018;1(1):10-16. doi:10.32323/ujma.376483
Chicago Skakauskas, Vladas. “Separable Solutions to a Brood-Parasite Dynamics Model”. Universal Journal of Mathematics and Applications 1, no. 1 (March 2018): 10-16. https://doi.org/10.32323/ujma.376483.
EndNote Skakauskas V (March 1, 2018) Separable solutions to a brood-parasite dynamics model. Universal Journal of Mathematics and Applications 1 1 10–16.
IEEE V. Skakauskas, “Separable solutions to a brood-parasite dynamics model”, Univ. J. Math. Appl., vol. 1, no. 1, pp. 10–16, 2018, doi: 10.32323/ujma.376483.
ISNAD Skakauskas, Vladas. “Separable Solutions to a Brood-Parasite Dynamics Model”. Universal Journal of Mathematics and Applications 1/1 (March 2018), 10-16. https://doi.org/10.32323/ujma.376483.
JAMA Skakauskas V. Separable solutions to a brood-parasite dynamics model. Univ. J. Math. Appl. 2018;1:10–16.
MLA Skakauskas, Vladas. “Separable Solutions to a Brood-Parasite Dynamics Model”. Universal Journal of Mathematics and Applications, vol. 1, no. 1, 2018, pp. 10-16, doi:10.32323/ujma.376483.
Vancouver Skakauskas V. Separable solutions to a brood-parasite dynamics model. Univ. J. Math. Appl. 2018;1(1):10-6.

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