Dr Yurij Salmaniw
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Open problems in PDE models for knowledge-based animal movement via nonlocal perception and cognitive mapping. H. Wang, Y. Salmaniw. J. Math. Bio., 86 (2023).
Biological Aggregations from Spatial Memory and Nonlocal Advection – Submitted (preprint available here). D. Liu, Y. Salmaniw, J. Potts, J. Shi, H. Wang (2023).
Global dynamics of a diffusive competition model with habitat degradation. Y. Salmaniw, Z. Shen, H. Wang. J. Math. Bio., 84 (2022) no. 18.
Uniformly bounded weak and classical solutions to a singular parabolic system and applications. Y. Salmaniw. J. Mathematical Analysis and Applications 490 (2020), no. 1.
Global existence for a singular Gierer-Meinhardt system. S. Chen, Y. Salmaniw, R. Xu. J. Differential Equations 262 (2017), no. 3, 2940 – 2960.
My broad research interests lie at the intersection of partial differential equations (PDEs) and movement ecology. PDEs are a useful tool to explore the complex dynamical outcomes of animal movement models that include varying movement mechanisms, explicit spatial structure, species-species interactions, or any other relevant factors understood to influence an organism’s use of space. Most recently I have studied the impact of habitat loss (degradation, destruction, fragmentation) in single and multi-species models of reaction-diffusion type, and the influence of cognition on animal space use through nonlocal models of reaction-diffusion-advection type.
Anton Alexander Cseuz Gold Medal in Mathematics (2023)
Faculty of Science Doctoral Dissertation Award (University of Alberta, 2023)
NSERC PDF Award (2023-2025)
Alberta Graduate Excellence Scholarship (2020-2022)
Josephine Mitchell Research Prize (University of Alberta, 2021)
Graduate Student Teaching Award (University of Alberta, 2020)
NSERC PGS-D Graduate Scholarship (2019-2022)
Ontario Graduate Scholarship (2017)