Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Gail S. K. Wolkowicz"'
Publikováno v:
Journal of Biological Dynamics, Vol 17, Iss 1 (2023)
We provide a procedure for deriving discrete population models for the size of the adult population at the beginning of each breeding cycle and assume only adult individuals reproduce. This derivation technique includes delay to account for the numbe
Externí odkaz:
https://doaj.org/article/b0e39707146745319e9d8d134cf4486a
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 6, Pp 7045-7073 (2020)
The mathematical analysis of a three-tiered food-web describing anaerobic chlorophenol mineralisation has suggested the emergence of interesting dynamical behaviour through its specific ecological interactions, which include competition, syntrophy, a
Externí odkaz:
https://doaj.org/article/742b17e9ff0c465bbf24dbcb43c1cbba
Publikováno v:
Mathematical Biosciences and Engineering, Vol 16, Iss 1, Pp 78-100 (2019)
A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling fermentor. Potential applications include water purification and biolo
Externí odkaz:
https://doaj.org/article/dac21dbf360f4b9dbee47e729fe1d938
Autor:
Guihong Fan, Gail S. K. Wolkowicz
Publikováno v:
International Journal of Differential Equations, Vol 2010 (2010)
The aim of this paper is to study the dynamics of predator-prey interaction in a chemostat to determine whether including a discrete delay to model the time between the capture of the prey and its conversion to viable biomass can introduce oscillator
Externí odkaz:
https://doaj.org/article/90f2ecdceaeb4b70a0cb1ae6647d33e8
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783031252242
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5f68157124e1cfc2d5f8b12a50f83fd
https://doi.org/10.1007/978-3-031-25225-9_22
https://doi.org/10.1007/978-3-031-25225-9_22
Publikováno v:
Bulletin of Mathematical Biology. 84
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efe2eb890a6bda5b77c58f6a3f46aebb
https://doi.org/10.1007/s11538-022-01016-4
https://doi.org/10.1007/s11538-022-01016-4
Autor:
Guihong Fan, Gail S. K. Wolkowicz
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 26:191-216
A discrete delay is included to model the time between the capture of the prey and its conversion to viable biomass in the simplest classical Gause type predator-prey model that has equilibrium dynamics without delay. As the delay increases from zero
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9d463573cb8b4b122e7ea77eb183f10
https://doi.org/10.3934/dcdsb.2020263
https://doi.org/10.3934/dcdsb.2020263
Publikováno v:
Mathematics in Applied Sciences and Engineering, Vol 1, Iss 4, Pp 331-352 (2020)
A model of predator-prey interaction in a chemostat with Holling Type II functional and numerical response functions of the Monod or Michaelis-Menten form is considered. It is proved that local asymptotic stability of the coexistence equilibrium impl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c813bc7e6e8ba0cdffa344961aaade4
https://doi.org/10.5206/mase/10842
https://doi.org/10.5206/mase/10842
Publikováno v:
Bulletin of mathematical biology. 84(7)
We derive a discrete predator-prey model from first principles, assuming that the prey population grows to carrying capacity in the absence of predators and that the predator population requires prey in order to grow. The proposed derivation method e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::f8580d6ebaf16b2ba68df8a310af45ac
https://pubmed.ncbi.nlm.nih.gov/35596850
https://pubmed.ncbi.nlm.nih.gov/35596850
Autor:
Gail S. K. Wolkowicz, Ting-Hao Hsu
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 25:1257-1277
We derive characteristic functions to determine the number and stability of relaxation oscillations for a class of planar systems. Applying our criterion, we give conditions under which the chemostat predator-prey system has a globally orbitally asym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa42997f9a3f44128e24fe6b5a03845b
https://doi.org/10.3934/dcdsb.2019219
https://doi.org/10.3934/dcdsb.2019219