TY  - JOUR
AU  - Li, Shuai
AU  - Fang, Bin
AU  - Song, Xinyu
AU  - Huang, Chengdai
PY  - 2026
TI  - Complex coexistence induced by delays in a diffusive intraguild predation system with stage structure and spatial memory
JO  - AIMS Mathematics
SP  - 6437
EP  - 6463
VL  - 11
IS  - 3
AB  - We study Hopf bifurcations induced by spatial memory and stage structure in a diffusive intraguild predation system, aiming to reveal their effects on the spatiotemporal dynamics of three interacting species. First, by applying the geometric approach, we obtain the stability criteria and Hopf bifurcation conditions through an analysis of the linearized system with delay-dependent coefficients. Next, we develop a computational algorithm for the normal form of Hopf bifurcation induced by maturation delay in a system with three state variables and diffusion terms containing a delay. Finally, we combine numerical simulations to demonstrate that variations in periods of maturation and spatial memory can generate rich and complex coexistence dynamics, including spatially homogeneous periodic solutions, spatially heterogeneous periodic solutions with mode   −  5, and multiple stability switches.
UR  - https://doi.org/10.3934/math.2026266
DO  - 10.3934/math.2026266