Streipert, Sabrina H.; Wolkowicz, Gail S. K. A method to derive discrete population models. (English) Zbl 07820170 Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 473-494 (2023). MSC: 37-XX 39-XX PDFBibTeX XMLCite \textit{S. H. Streipert} and \textit{G. S. K. Wolkowicz}, Springer Proc. Math. Stat. 416, 473--494 (2023; Zbl 07820170) Full Text: DOI
Streipert, Sabrina H.; Wolkowicz, Gail S. K.; Bohner, Martin Derivation and analysis of a discrete predator-prey model. (English) Zbl 1497.92214 Bull. Math. Biol. 84, No. 7, Paper No. 67, 34 p. (2022). Reviewer: Yuming Chen (Waterloo) MSC: 92D25 39A22 39A28 39A30 PDFBibTeX XMLCite \textit{S. H. Streipert} et al., Bull. Math. Biol. 84, No. 7, Paper No. 67, 34 p. (2022; Zbl 1497.92214) Full Text: DOI
Lin, Chiu-Ju; Hsu, Ting-Hao; Wolkowicz, Gail S. K. Population growth and competition models with decay and competition consistent delay. (English) Zbl 1492.92062 J. Math. Biol. 84, No. 5, Paper No. 39, 25 p. (2022). Reviewer: Wan-Tong Li (Lanzhou) MSC: 92D25 92D40 34K60 PDFBibTeX XMLCite \textit{C.-J. Lin} et al., J. Math. Biol. 84, No. 5, Paper No. 39, 25 p. (2022; Zbl 1492.92062) Full Text: DOI arXiv
Streipert, Sabrina H.; Wolkowicz, Gail S. K. An alternative delayed population growth difference equation model. (English) Zbl 1472.39035 J. Math. Biol. 83, No. 3, Paper No. 25, 34 p. (2021). Reviewer: Bastien Mallein (Paris) MSC: 39A60 39A30 92D25 92B05 92D40 PDFBibTeX XMLCite \textit{S. H. Streipert} and \textit{G. S. K. Wolkowicz}, J. Math. Biol. 83, No. 3, Paper No. 25, 34 p. (2021; Zbl 1472.39035) Full Text: DOI arXiv
Lin, Chiu-Ju; Wang, Lin; Wolkowicz, Gail S. K. An alternative formulation for a distributed delayed logistic equation. (English) Zbl 1396.92071 Bull. Math. Biol. 80, No. 7, 1713-1735 (2018). MSC: 92D25 34K20 34K60 PDFBibTeX XMLCite \textit{C.-J. Lin} et al., Bull. Math. Biol. 80, No. 7, 1713--1735 (2018; Zbl 1396.92071) Full Text: DOI
Arino, Julien; Wang, Lin; Wolkowicz, Gail S. K. An alternative formulation for a delayed logistic equation. (English) Zbl 1447.92326 J. Theor. Biol. 241, No. 1, 109-119 (2006). MSC: 92D25 34K60 PDFBibTeX XMLCite \textit{J. Arino} et al., J. Theor. Biol. 241, No. 1, 109--119 (2006; Zbl 1447.92326) Full Text: DOI
Wolkowicz, Gail S. K.; Ballyk, Mary M.; Lu, Zhiqi Microbial dynamics in a chemostat: Competition, growth, implications of enrichment. (English) Zbl 0837.92031 Deng, Zhongqi (ed.) et al., Differential equations and control theory. Proceedings of the international conference, Wuhan, People’s Republic of China, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 176, 389-406 (1996). MSC: 92D40 34D05 PDFBibTeX XMLCite \textit{G. S. K. Wolkowicz} et al., Lect. Notes Pure Appl. Math. 176, 389--406 (1996; Zbl 0837.92031)
Ballyk, Mary M.; Wolkowicz, Gail S. K. An examination of the thresholds of enrichment: A resource-based growth model. (English) Zbl 0819.92025 J. Math. Biol. 33, No. 4, 435-457 (1995). MSC: 92D40 34C99 PDFBibTeX XMLCite \textit{M. M. Ballyk} and \textit{G. S. K. Wolkowicz}, J. Math. Biol. 33, No. 4, 435--457 (1995; Zbl 0819.92025) Full Text: DOI
Wolkowicz, Gail S. K.; Lu, Zhiqi Global dynamics of a mathematical model of competition in the chemostat: General response functions and differential death rates. (English) Zbl 0739.92025 SIAM J. Appl. Math. 52, No. 1, 222-233 (1992). MSC: 92D40 37-XX 34D20 92D25 34C15 34D05 PDFBibTeX XMLCite \textit{G. S. K. Wolkowicz} and \textit{Z. Lu}, SIAM J. Appl. Math. 52, No. 1, 222--233 (1992; Zbl 0739.92025) Full Text: DOI
Tang, Betty; Wolkowicz, Gail S. K. Mathematical models of microbial growth and competition in the chemostat regulated by cell-bound extracellular enzymes. (English) Zbl 0763.92004 J. Math. Biol. 31, No. 1, 1-23 (1992). Reviewer: R.Manthey (Jena) MSC: 92C45 92D40 92D25 PDFBibTeX XMLCite \textit{B. Tang} and \textit{G. S. K. Wolkowicz}, J. Math. Biol. 31, No. 1, 1--23 (1992; Zbl 0763.92004) Full Text: DOI
Butler, G. J.; Wolkowicz, G. S. K. Predator-mediated competition in the chemostat. (English) Zbl 0604.92019 J. Math. Biol. 24, 167-191 (1986). Reviewer: T.Kostova-Vassilevska MSC: 92D25 34D99 92D40 PDFBibTeX XMLCite \textit{G. J. Butler} and \textit{G. S. K. Wolkowicz}, J. Math. Biol. 24, 167--191 (1986; Zbl 0604.92019) Full Text: DOI
Butler, G. J.; Wolkowicz, G. S. K. A mathematical model of the chemostat with a general class of functions describing nutrient uptake. (English) Zbl 0569.92020 SIAM J. Appl. Math. 45, 138-151 (1985). Reviewer: A.Hausrath MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{G. J. Butler} and \textit{G. S. K. Wolkowicz}, SIAM J. Appl. Math. 45, 138--151 (1985; Zbl 0569.92020) Full Text: DOI