Mathematical Sciences Interdisciplinary Research Group Publications

Jialu Tian, Y. Du, Ping Liu, Wenjie Ni, A predator-prey model with prey-taxis and free boundary: well-posedness and long-time dynamics, J. Diff. Equations, 458 (2026), Paper 114056.

Narges Shabgard, Y. Du and Tim Schaerf, Propagation through a barrier: Numerical analysis of a reaction-diffusion model with free boundary, Math. Biosci., 394 (2026) 109624.

Y. Du, Yuanyang Hu and Chengxia Lei, Invasion in a shifting environment governed by a free boundary model with preferred density at the invading fronts, J. Diff. Equations, 463 (2026), Paper 114163.

Du, Yihong; Li, Ling; Ni, Wenjie; Shabgard, Narges. Invasion dynamics of super invaders: elimination of Allee effects by a strategy at the range boundary. J. Math. Biol. 91 (2025), no. 6, Paper No. 69, 52 pp.

Du, Yihong; Ni, Wenjie; Wang, Rong. Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries, part 2: Precise rates of acceleration. J. Differential Equations 447 (2025), Paper No. 113624, 38 pp.

Du, Yihong; Ni, Wenjie; Shi, Linfei. Long-time dynamics of a competition model with nonlocal diffusion and free boundaries: chances of successful invasion. SIAM J. Appl. Math. 85 (2025), no. 4, 1315–1343.

Du, Yihong; Ni, Wenjie. Rate of propagation for the Fisher–KPP equation with nonlocal diffusion and free boundaries. J. Eur. Math. Soc. (JEMS) 27 (2025), no. 3, 1267–1319.

Li, Ling; Du, Yihong; Lei, Yutian Existence and non-existence of positive solutions for a class of fractional Laplacian equations. Discrete Contin. Dyn. Syst. 45 (2025),  3857–3876.

Du, Yihong Propagation dynamics of the monostable reaction-diffusion equation with a new free boundary condition. Discrete Contin. Dyn. Syst. 44 (2024), no. 9, 2524–2563.

Du, Yihong; Ni, Wenjie. The high dimensional Fisher–KPP nonlocal diffusion equation with free boundary and radial symmetry, part 2: Sharp estimates. J. Funct. Anal. 287 (2024), no. 12, Paper No. 110649, 69 pp.

Du, Yihong; Ni, Wenjie. Exact rate of accelerated propagation in the Fisher–KPP equation with nonlocal diffusion and free boundaries. Math. Ann. 389 (2024), no. 3, 2931–2958.

Long, Xin; Du, Yihong; Ni, Wenjie; Yi, Taishan Dynamics of the nonlocal KPP equation: effects of a new free boundary condition. J. Differential Equations 413 (2024), 557–605.

Wang, Zhiguo; Nie, Hua; Du, Yihong Sharp asymptotic profile of the solution to a West Nile virus model with free boundary. European J. Appl. Math. 35 (2024), no. 3, 462–482.

Ai, Shangbing; Du, Yihong; Jiao, Yujuan; Peng, Rui Traveling wave solutions of a class of multi-species non-cooperative reaction-diffusion systems. Nonlinearity 36 (2023), no. 5, 2371–2402.

Du, Yihong; Hu, Yuanyang; Liang, Xing A climate shift model with free boundary: enhanced invasion. J. Dynam. Differential Equations 35 (2023), no. 1, 771–809.

Du, Yihong; Ni, Wenjie. The high dimensional Fisher–KPP nonlocal diffusion equation with free boundary and radial symmetry, Part 1. SIAM J. Math. Anal. 54 (2022), no. 3, 3930–3973.

Du, Yihong; Ni, Wenjie. Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries, part 1: Semi-wave and a threshold condition. J. Differential Equations 308 (2022), 369–420.

Ganji, M., Schmalz, G., Sykes, D. “Quasi-Einstein Shearfree Spacetimes Lifted from Sasakian Manifolds.” In Complex Geometric Analysis (CCGA 2022), Springer Proceedings in Mathematics & Statistics, vol 481 (2025).

Alekseevsky, D.V., Ganji, M., Schmalz, G., Spiro, A. “Lorentzian manifolds with shearfree congruences and Kähler–Sasaki geometry.” Differential Geometry and its Applications 75, 101724 (2021).

Ganji, M., Giannotti, C., Schmalz, G., Spiro, A. “Einstein manifolds with optical geometries of Kerr type.” Annals of Physics 474, 169908 (2024).

Cowling, M.G., Ganji, M., Ottazzi, A., Schmalz, G. “CR embeddings of CR manifolds.” Annali di Matematica Pura ed Applicata (2022).

Cowling, M., Ganji, M., Ottazzi, A., Schmalz, G. “CR embeddings of Nilpotent Lie groups.” Proceedings of the American Mathematical Society (Mar 2024).

Alekseevsky, D.V., Ganji, M., Schmalz, G., Spiro, A. “The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries.” CUBO, A Mathematical Journal 26(2), 239–258 (Aug 2024).

Harris, A., McCallum, S., Harre, M.S., On the Smooth Unfolding of Bifurcations in Quantal Response Equilibria . Journal of Games and Economic Behaviour (2023) (in press)

Harre, M.S., Harris, A., McCallum, S., Mathematica code for the topological analysis of Thom's Catastrophes in 2x2 economic games. Software  Impacts 20 (2024)

Z. Ma, Y. Du and Z. C. Wang, Propagation in a time-periodic environment governed by a reaction–diffusion model of KPP type with a new free boundary condition, Comm. Contemp. Math. to appear.

Z. Ma, Z. Bu and F.-J. Jia, Propagation phenomenon for bistable parabolic equation in space-periodic environment, Chaos Solitons & Fractals, to appear.

Z. Ma, W.-J. Sheng and Z. C. Wang, Periodic traveling waves and propagating terraces for multistable nonlinearity in cylinders, J. Differential Equations ​ 403 (2024), 406-464.

Z. Ma and Z. C. Wang, The trichotomy of solutions and the description of threshold solutions for periodic parabolic equations in cylinders, J. Dynam. Differential Equations   35 (2023), no. 4, 3665-3689.

F.-J. Jia, Z. Bu and Z. Ma, Uniqueness and global stability of V-shaped fronts for the buffered bistable system in R^2, Nonlinear Anal. Real World Appl.   70  (2023), Paper No. 103778, 32 pp.

J. McOrist, M. Sticka and E. E. Svanes, The heterotic G2 moduli space metric, Journal High Energy Physics (JHEP) 11 (2025) 016, arXiv:2502.16093

J. McOrist, M. Sticka and E. E. Svanes, The physical moduli of heterotic G2 string compactifications, Journal High Energy Physics (JHEP) 05 (2025) 096, arXiv:2409.13080

B. Chisamanga, J. McOrist, S. Picard and E. E. Svanes, The decoupling of moduli about the standard embedding,  Journal High Energy Physics (JHEP) 01 (2025) 032, arXiv:2409.04350

J. McOrist, S. Picard and E. E. Svanes,  A Heterotic Hermitian–Yang–Mills Equivalence, Commun. Math. Phys. 406 (2025) no.5, 107, arXiv:2402.10354

J. McOrist and E. E. Svanes, Heterotic Quantum Cohomology, JHEP 11 (2022) 096, arXiv:2110.06549

V. Miloslavskaya, "Pareto-Optimal Frozen Set Design for Polar Codes with Dynamic Frozen Bits under Small-List SCL Decoding," in IEEE Access, vol. 13, pp. 215929-215939, December 2025. https://ieeexplore.ieee.org/document/11308100.

V. Miloslavskaya, Y. Li, and B. Vucetic, “Frozen Set Design for Precoded Polar Codes”, in IEEE Transactions on Communications, vol. 73, no. 1, pp. 77-92, January 2025. https://ieeexplore.ieee.org/document/10623724 https://arxiv.org/abs/2311.10047

V. Miloslavskaya, Y. Li, and B. Vucetic, “Neural Network Based Adaptive Polar Coding”, in IEEE Transactions on Communications, vol. 72, no. 4, pp. 1881-1894, April 2024. https://ieeexplore.ieee.org/document/10354370

V. Miloslavskaya, Y. Li, and B. Vucetic, “Design of Compactly Specified Polar Codes with Dynamic Frozen Bits Based on Reinforcement Learning”, in IEEE Transactions on Communications, vol. 72, no. 3, pp. 1257–1272, 2024. https://ieeexplore.ieee.org/document/10313310

C. Yue, V. Miloslavskaya, M. Shirvanimoghaddam, B. Vucetic, and Y. Li, “Efficient Decoders for Short Block Length Codes in 6G URLLC”, in IEEE Communications Magazine, vol. 61, no. 4, pp. 84-90, April 2023. https://ieeexplore.ieee.org/document/10106132

V. Miloslavskaya, B. Vucetic and Y. Li, "Computing the Partial Weight Distribution of Punctured, Shortened, Precoded Polar Codes," in IEEE Transactions on Communications, vol. 70, no. 11, pp. 7146-7159, Nov. 2022. https://ieeexplore.ieee.org/document/9887941

A. Kosasih, V. Onasis, V. Miloslavskaya, W. Hardjawana, V. Andrean and B. Vucetic, "Graph Neural Network Aided MU-MIMO Detectors," in IEEE Journal on Selected Areas in Communications, vol. 40, no. 9, pp. 2540-2555, Sept. 2022. https://ieeexplore.ieee.org/document/9832663

A. Kosasih, V. Onasis, W. Hardjawana, V. Miloslavskaya, V. Andrean, J.-S. Leuy, Branka Vucetic “Graph Neural Network Aided Expectation Propagation Detector for MU-MIMO Systems,” IEEE Wireless Communications and Networking Conference (WCNC), April 2022. https://ieeexplore.ieee.org/document/9771869

N. Brownlowe, D. Robertson, Self-similar quantum groups, J. Noncommut. Geom. 19 (2025), 269–296

N. Brownlowe, D. Robertson, Tubular Partitions and Representations of the Quantum Automorphism Group of a Homogeneous Rooted Tree, J. Pure Appl. Algebra (to appear, 2026)

H Koudela, T M Schaerf, T Lathlean, A Murphy M Welch (2025) Investigating the emergence of collective states within rugby sevens gameplay, Journal of Sports Sciences, 43:48-59

A Van Der Merwe, D Paul, J Schmalz, T M Schaerf (2024) Keyed S-boxes from sponge functions, Journal of Discrete Mathematical Sciences and Cryptography, 27:2241-2254

T M Schaerf (2024), Collective behaviour: stingless bees are self-organised nest builders, Current Biology, 34:R335-R337

T M Schaerf, A D M Wilson, M Welch, A J W Ward (2024), Collective order and group structure of shoaling fish subject to differing risk-level treatments with a sympatric predator, Royal Society Open Science, 11:231511

S A Encel, T M Schaerf, A J W Ward (2024), Immune challenge changes social behavior in the guppy (Poecilia reticulata), Behavioral Ecology, 35:arad081

K Khan, T M Schaerf, Y Du (2023), Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models, Discrete and Continuous Dynamical Systems-B, 28:6248-6288

R K Mudaliar, T M Schaerf (2023), An examination of force maps targeted at orientation interactions in moving groups, PLoS ONE, 18:e0286810

S A Encel, E K Simpson, T M Schaerf, A J W Ward (2023), Immune challenge affects reproductive behaviour in the guppy (Poecilia reticulata), Royal Society Open Science, 10:230579

A D M Wilson, T M Schaerf, A J W Ward (2022), Individual and collective behaviour of fish subject to differing risk-level treatments with a sympatric predator, Behavioral Ecology and Sociobiology, 76:160

S L Mackenzie, G Hall, T M Schaerf, N R Andrew (2022), Impacts of macrocyclic lactones on larval survival, growth and development of three dung beetle species (Coleoptera: Scarabaeidae), Austral Entomology, 61:104-112

A L Burns, T M Schaerf, J Lizier, S Kawaguchi, M Cox, R King, J Krause, A J W Ward (2022), Self-organization and information transfer in Antarctic krill swarms, Proceedings of the Royal Society B, 289:20212361

R K Mudaliar, A V Zvezdin, G S Bratt, T M Schaerf (2022), Systematic analysis of emergent collective motion produced by a 3D hybrid zonal model, Bulletin of Mathematical Biology, 84:16