Stability of a competition model with two-stage structure

Salemi, F.; Salone, V.; Wang, Wendi

doi:10.1016/s0096-3003(97)10180-1

Cited by 7 publications

(1 citation statement)

References 9 publications

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“…Finite element models of the structures are established by APDL language based on ANSYS software. All the beams and columns are simulated by BEAM188 element, while the braces are simulated by LINK8 element (Salemi et al [13]). The influence of geometric nonlinearity is taken into consideration in the analysis of this kind of tall and slender structures.…”

Section: Analytical Modelsmentioning

confidence: 99%

Research on Static Properties and Stability of High-Rise Tubular 3d Parking Structure With Hoop Stories

He¹,

Liu²,

Zhou³

2014

Volume 10 Number 4

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A new structural arrangement style of high-rise tubular 3D parking structure is presented, which is to set hoop stories like bamboo knots at the proper levels along the height, and the optimal arrangement principle of hoop stories is analyzed. The static properties and stability of the structures with different arrangement schemes of hoop stories are compared. Results indicate that, the lateral stiffness of the structure with hoop stories set according to the equal stability and equal drift principle is remarkably improved; the storey drift becomes more uniform, which benefits the stable operation of hoisting machines; also, the sudden change of the internal forces of columns is relatively moderate and the structural overturning resistance is enhanced. Finally, the parametric analyses on static properties and stability of the structures with optimal arrangement of hoop stories are studied in detail.

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Section: Analytical Modelsmentioning

confidence: 99%

Research on Static Properties and Stability of High-Rise Tubular 3d Parking Structure With Hoop Stories

He¹,

Liu²,

Zhou³

2014

Volume 10 Number 4

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Permanence and Stability of a Stage-Structured Predator–Prey Model

Wang¹,

Mulone

Salemi

et al. 2001

Journal of Mathematical Analysis and Applications

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112

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A predator᎐prey model with a stage structure for the predator which improves the assumption that each individual predator has the same ability to capture prey is proposed. It is assumed that immature individuals and mature individuals of the predator are divided by a fixed age and that immature predators do not have the ability to attack prey. We obtain conditions that determine the permanence of the populations and the extinction of the populations. Furthermore, we establish necessary and sufficient conditions for the local stability of the positive equilibrium of the model. By exploiting the monotonicity of one equation of the model, we obtain conditions for the global attractivity of the positive equilibrium, which allow for long delay as long as the predator birth rate is large or the death rate of immature predators is small. By constructing Liapunov functionals, we also obtain conditions under which the positive equilibrium is globally stable when the delay is small. ᮊ

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