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Hopf bifurcation and chaos in a Leslie–Gower prey–predator model with discrete delays

International Journal of Biomathematics 2020年第6期13卷 135-161页

作者： Anuraj Singh Preeti pradeep malik ABV-Indian Institute of Information Technology and Management Gwalior M.P.India Department of Mathematics University of Petroleum Energy Studies DehradunUttarakhandIndia

In this work,a Leslie–Gower prey-predator model with two discrete delays has been *** positivity,boundedness and persistence of the delayed system have been *** system exhibits the phenomenon of Hopf bifurcation with respect to both *** conditions for occurrence of Hopf bifurcation are obtained for different combinations of *** is shown that delay induces the complexity in the system and brings the periodic oscillations,quasi-periodic oscillations and *** properties of periodic solution have been determined using central manifold and normal form ***,the global stability of the system has been established for different cases of discrete *** numerical computation has also been performed to verify analytical results.

关键词： Discrete delays limit cycle global stability Hopf bifurcation chaotic behavior

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Improvement in cryosurvival of buffalo bull (Bubalus bubalis) sperm by altering freezing rate within critical temperature range

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Asian pacific Journal of Reproduction 2018年第2期7卷 72-78页

作者： Jasmer Dalal Ajeet Kumar pradeep Kumar Mrigank Honparkhe Vijay Singh malik Sumit Singhal Simarjeet Kaur Parkash Singh Brar Department of Veterinary Gynaecology and Obstetrics Guru Angad Dev Veterinary and Animal Sciences UniversityLudhiana141004Punjab India Department of Buffalo Physiology and Reproduction Central Institute for Research on BuffaloHisar125001HaryanaIndia Livestock Farms Complex Guru Angad Dev Veterinary and Animal Sciences UniversityLudhiana141004Punjab India

Objective:To optimize the cryopreservation of buffalo bull semen by altering freezing rates within critical temperature range (4℃ to -60℃). Methods: A total of 20 ejaculates each from 5 Murrah buffalo bulls were cryopreserved using programmable biofreezer in 2 phases. In the 1st phase, 9 freezing rates were applied at -2, -5, -10, -20, -30, -40, -50, -60 or -4℃/min (control) from 4℃ to -15℃;at -40℃/min from -15℃ to -60℃. In the 2nd phase, a fixed freezing rate was applied at -30℃/min from 4℃ to -15℃. Six freezing rates were applied at -10, -20, -30, -40 (control), -50 or -60℃/min from -15℃ to -60℃. The freezing from -60℃ to -140℃ were fixed at -50℃/min in both the phases. Post thaw semen quality was assessed in terms of motility, viability, membrane integrity (hypo-osmotic swelling test), sperm abnormalities, and active mitochondria. Data were arc sine transformed and analyzed through one-way analysis of variance using SPSS software. Results: In the 1st phase, percent individual motility, progressive motility and viability were similar among various protocols. Percent hypo-osmotic swelling reactive sperm was higher with freezing at -30℃/min. In the 2nd phase, percent individual motility, viability and hypo-osmotic swelling reactive sperm was higher with freezing at -50℃/min. Sperm head abnormalities were lower at -30℃/min in the 1st phase, but were similar among the protocols of the 2nd phase. Percent active mitochondria were higher at -30℃/min in the 1st phase and at -50℃/min in the 2nd ***:The optimum post thaw semen quality of buffalo bull could be obtained by applying freezing rate at -30℃/min (4℃ to -15℃) and at -50℃/min (-15℃ to -140℃), followed by plunging of straws in into liquid nitrogen for storage.

关键词： Buffalo bulls Freezing rate Critical temperature range Programmed freezing

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Treatment Initiation among Patients with Multidrug Resistant Tuberculosis in Bhopal District, India

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Journal of Tuberculosis Research 2017年第4期5卷 237-242页

作者： Hemant Deepak Shewade Arun M. Kokane Akash Ranjan Singh Manoj Verma malik Parmar Sanjay Singh Chahar Manoj Tiwari Sheeba Naz Khan Mukesh Nagar Sanjai Kumar Singh pradeep Kumar Mehra Ajay M. V. Kumar International Union against Tuberculosis and Lung Disease (The Union) South-East Asia Office New Delhi India Department of Community Medicine and Family Medicine All India Institute of Medical Sciences (AIIMS) Bhopal India State TB cell Department of Health and Family Welfare Bhopal India World Health Organization Country Office in India New Delhi India International Union against Tuberculosis and Lung Disease (The Union) Paris France

Revised national tuberculosis control programme in India has limited co-hort-wise information about what happens to patients diagnosed with multidrug resistant TB (MDR-TB). We determined the pre-treatment loss to follow-up (non-initiation of treatment by programme within 6 months of diagnosis) and time from diagnosis to treatment initiation in Bhopal district, central India (2014). Pre-treatment loss to follow-up was 13% (0.95 CI: 7%, 23%), not significantly different from the national estimates (18%) and median time to initiate treatment was seven days, lower than that reported elsewhere in the country. Bhopal was performing well with reference to time to treatment initiation in programmatic settings.

关键词： Multidrug-Resistant Tuberculosis Operational Research Pre-Treatment Attrition Diagnosis and Treatment Pathway Initial Loss to Follow-Up

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