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An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies. [ABSTRACT FROM AUTHOR]

An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given. [ABSTRACT FROM AUTHOR]

Based on the biological resource management of natural resources, a stage-structured predator-prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the global attractivity of predator-extinction periodic solution and the permanence of this system are studied. At last, examples and numerical simulations are given to verify the validity of the main results. [ABSTRACT FROM AUTHOR]

Glycogen-rich clear cell carcinoma ( GRCC) of the breast is a rare type of breast carcinoma. Knowledge about the characteristics of this type is fragmentary, and the prognosis is on debate. In this study, we aimed to summarize the clinical, pathologic, and biologic characteristics of GRCC of the breast and analyze the survival. We reviewed the cases of breast cancer in our hospital between January 1999 and December 2009 and identified 28 patients as GRCC of the breast. The routine hematoxylin-eosin staining, periodic acid- Schiff ( PAS) staining, and diastase PAS staining were performed on the tumor tissues. The expression of estrogen receptor ( ER), progesterone receptor ( PR), and human epidermal growth factor receptor 2 ( HER-2), Ki67 and P53 were evaluated by immunohistochemistry. Tumors with a HER-2 score of 2+ were confirmed by fluorescent in situ hybridization test. Each GRCC case, who had complete follow-up data, was compared with four cases of usual invasive ductal carcinomas as controls in the same database and matched with age, year of diagnosis, tumor size, nodal status, and immunophenotype. The chi-squared test and the Fisher's exact test were used to compare the characteristics of GRCC cases and controls. The univariate analysis was used to study the prognosis, and Kaplan-Meier method was used to compare the survival of two groups. The clinicopathologic and imaging features were analyzed in the GRCC cases. Tumor sizes ranged from 0.8 to 7.5 cm (mean, 3.2 cm). Thirteen cases (46.4%) had positive lymph nodes. The positivity of ER and PR was 61.5% (16 of 26). HER-2 was positive for three cases (12%). The positivity of Ki67 and P53 were 87.5% and 45.8%, respectively. Twenty-four cases were followed up from 19 to 158 months. The prognosis of GRCC of the breast was significantly related with the number of positive lymph nodes (p < 0.001), and patients with more than 10 positive lymph nodes were at high risk of recurrence or metastasis. There was no significant difference in overall survival (p = 0.547), and disease-free survival (p = 0.900) between GRCC of the breast and the usual invasive ductal carcinomas. GRCC of the breast may not have a worse survival. [ABSTRACT FROM AUTHOR]