Hopf bifurcation and Bautin bifurcation in a prey-predator model with prey's fear cost and variable predator search speed

Article Mathematics, Applied

Periodic oscillation and tri-stability in mutualism systems with two consumers

Yuanshi Wang et al.

Summary: This paper investigates mutualistic interactions between two consumers, showing periodic oscillations, tri-stability, and two types of bi-stability in the system. By analyzing models with different response types, the study demonstrates that changing the degree of obligation can lead to transitions in interaction outcomes among coexistence, steady state, and extinction. These results contribute to a better understanding of complexity in mutualistic relationships.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2022)

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Article Mathematics

Dynamics of predator-prey systems with prey's dispersal between patches

Jiale Ban et al.

Summary: This study analyzes dispersal in predator-prey systems using dynamical systems theory, showing that dispersal can affect system stability and total abundance, and identifying an optimal dispersal rate that can lead to predator extinction and maximize prey abundance. These findings have important biological implications for preserving endangered species.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS (2022)

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Article Biology

Dynamics of Competitive Systems with Diffusion Between Source-Sink Patches

Hong Wu et al.

Summary: This paper examines a two-species competitive system with diffusion, analyzing system persistence, equilibrium stability, and new types of bi-stability. The results show that diffusion could lead to different outcomes than without diffusion, extending the principle of competitive exclusion.

BULLETIN OF MATHEMATICAL BIOLOGY (2021)

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Article Biology