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• W4313432025 abstract "In this paper, we propose a size-stage-structured cooperation model which has two distinct life stages in facultative cooperator. The primary feature of this model is to consider size structure, stage structure and obligate and facultative symbiosis at the same time in a cooperation system. We use the method of characteristic to show that this new model can be reduced to a threshold delay equations (TDEs) model, which can be further transformed into a functional differential equations (FDEs) model by a simple change of variables. Such simplification allows us to apply the classical theory of FDEs and establish a set of sufficient conditions to investigate the qualitative analysis of solutions of the FDEs model, including the global existence and uniqueness, positivity and boundedness. What’s more, we use the geometric criteria to get the conclusions about stability and Hopf bifurcation of positive equilibrium because the coefficients of the characteristic equation depend on the bifurcation parameter. Finally, numerical simulations are carried out as supporting evidences of our analytical results. Our results show that the presence of size structure and stage structure plays an important role in the dynamic behavior of the model." @default.
• W4313432025 created "2023-01-06" @default.
• W4313432025 creator A5045871863 @default.
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• W4313432025 date "2023-01-25" @default.
• W4313432025 modified "2023-09-27" @default.
• W4313432025 title "Stability and bifurcation analysis of a size-stage-structured cooperation model" @default.
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• W4313432025 doi "https://doi.org/10.1142/s1793524523500043" @default.
• W4313432025 hasPublicationYear "2023" @default.
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