A Delay Population Models 

Related works: 

1. Greyson-Gaito, C. and Streipert, S. and Wolkowicz, G. S. K. Adding a fecundity-survival trade-off to a discrete population model with maturation delay. arXiv, 2025. link  

2. Streipert, S. and Wolkowicz, G. S. K. Technique to derive discrete distributed delay population models. Mathematical Biosciences, 376:109279, 2024. link 

3. Streipert, S. and Wolkowicz, G. S. K. Technique to derive discrete population models with delayed growth. Journal of Biological Dynamics (special issue honoring A. Aziz-Yakubu), 17(1): 2244987, 2023. 

B Discrete Model Formulation and Analysis

Related works:

1. Streipert, S. and Wolkowicz, G. An augmented phase plane approach for discrete planar maps: Introducing next-iterate operators. Mathematical Biosciences, 355, 108924, 2023. link 

2. Streipert, S. and Wolkowicz, G. and Bohner, M. Derivation and Analysis of a Discrete Predator-Prey Model. Bulletin of Mathematical Biology, 84(7): 67, 2022. link 

Related works: 

1. Bukkuri, A., Streipert, S. and Kang, Y. Darwinian dynamics of Host-Pathogen interactions. Mathematical Biosciences and Engineering,  23(4): 845-883, 2026. link 

2. Walsman, J. C., Streipert, S., Cherie, B. and Wilber, M. Q. The mean and variance of infection load reveal unseen host evolution. bioarXiv, 2025. link 

3. Wilber, M., DeMarchi, J., Briggs, C. and Streipert, S. Rapid evolution of resistance and tolerance leads to variable host recoveries following disease-induced declines. American Naturalist, 203(5):535-550, 2024. link 

• Applications of Dynamic Equations on Time Scales

Interest:

Dynamic equations on time scales allows to describe time-dependent processes that change not necessarily discrete nor continuously. It was originally introduced as a unification of the continuous and discrete calculus. I am interested in exploring its potential to real-life processes.

Related works: 

• Bohner, M. and Mesquita, J. and Streipert, S. The Beverton-Holt Model on Isolated Time Scales. Mathematical Biosciences and Engineering, 19 (11): 11693–11716, 2022.

• Bohner, M. and Streipert, S. and Torres, D. Exact solution to a dynamic SIR model. Nonlinear Analysis: Hybrid Systems, 32:228–238, 2019.

• Theory of Dynamic Equations on Time Scales

Interest:

Despite its progress, there are several, largely unexplored areas in the theory of time scales including stability analysis, stochastic dynamical systems, etc. Providing the foundation of such theories on time scales is part of my research. 

Related works:

• Bohner, M. and Mesquita, J. and Streipert, S. Periodic functions on isolated Time Scales. Mathematische Nachrichten, 295(2), 259–280, 2022.

• Bohner, M. and Cuchta, T. and Streipert, S. Delay dynamic equations on isolated time scales and the relevance of one-periodic coefficients. Mathematical Methods in the Applied Sciences, 45(10): 5821–5838, 2022.

Related works: 

• Filar, J., Holden, M., Mendiolar, M. and Streipert, S. Persistence index for harvested populations. Mathematical Biosciences, 387: 109497, 2025. link 

• Filar, J., Holden, M., Mendiolar, M. and Streipert, S. Overcoming the impossibility of age-balanced harvest. Mathematical Biosciences, 367: 109111, 2024. link 

• Kleshnina, M., Streipert, S. H., Brown, J. S. and Stankova, K. Game Theory for Managing Evolving Systems: Challenges and Opportunities of Including Vector-Valued Strategies and Life-History Traits. Dynamic Games and Applications, 13:1130--1155, 2023. link 

• Filar, J. and Streipert, S. Square Root Identities for Harvested Beverton–Holt Models. Journal of Theoretical Biology, 549: 111999, 2022. link