**TITLE OF PH. D. THESIS**** **

**Complex Dynamics of Ecological Systsem: Models and Methods.**

**THESIS SUPERVISOR**** **** **

**Prof. Ranjit Kumar Upadhyay, Department of Applied Mathematics, IIT(ISM) Dhanbad.**

**ONGOING PROJECTS**

**Mathematical Modeling of Ecological Systems: An Application to the Biological Science. ****Sanctioned** by SERB-DST of **Amount **Rs. 2028565/-

**RESEARCH DOMAINS**

Ø **Disease Dynamics, **

Ø **Real World Problems,**

Ø **Chaos Theory, **

Ø **Dynamical Systems.**

**Ph. D. STUDENTS**** **

**1. Mrs. Sapna Thakur (Completed in Janury 2018). **

**Thesis Title: **A Statistical and Fuzzy Logic Study for the Diagnosis of the Thalassemia Disease: An Application to Chhattisgarh, India

**2. Mr. Purnendu Mishra (Completed in March 2019).**

**Thesis Title: **Dynamical Effects of Prey Defense in Predator-Prey Systems: Mathematical Perspectives

**3. Miss. Barkha Tiwari (Completed in December 2020).**

**Thesis Title: **Study of The Ecosystem by Mathematical Models: Complexities And Challenges

**4. Miss. Barsa Priyadarsini Sarangi (Ongoing from July 2018).**

**5. Mr. Sevak Ram Sahu (Ongoing from August 2019).**

**WORK EXPERINCE**

(1) Presently, I am working as an **Assistant Professor** in **Department of Mathematics NIT, Raipur during May 06, 2013 to till continue.**

(2) I have worked as a **Research Associate** on the project entitled **“Finite Element Approximation and Computer Implementation for Non-** **Linear Elliptic Singular Perturbation Problems with Engineering Applications**” sponsored by Council of Scientific and Industrial Research **(CSIR)** under the principle investigation of **Dr. Manoj Kumar, Professor,** **Department**** of Mathematics MNNIT, Allahabad during November 30, 2012 to May 03, 2****013.**

(3) I have worked as a **Visiting Faculty** in **Department of Mathematics MNNIT, Allahabad during August 30, 2012 to November 29, 2012**.

(4) I have worked as a **Senior Research Fellow** in **Department of Applied Mathematics IIT(ISM), Dhanbad during July, 2010 to June, 2012**.

(5) I have worked as a **Junior Research Fellow** in **Department of Applied Mathematics IIT(ISM), Dhanbad during July, 2008 to June, 2010**.

**MEMBERSHIP OF NATIONAL AND INTERNATIONAL PROFESSIONAL BODIES**

**Life time member of International Association of Engineers, Hong Kong**
**Life time member of Indian Mathematical Society, India**
**Life time member of Indian Science Congress Association, India**

**AWARDS / ACHIEVEMENT**

*B**est Mathematical Modeling Team Award* for the Mathematical Modeling Project of the Industrial problem in **DAAD (Dautschar Akadamischar Austausch Dienst) German Academic Exchange Service** supported International Workshop on **Computational PDE: Modeling and Simulation****”** held on January 03-12, 2011 conducted by **Department of Mathematics Indian Institute of Technology, Madras** and **The Fraunhofer Institute of Industrial Mathematics (Fraunhofer ITWM), University of Kaiserslautern, Germany.**

**REVIEWER OF JOURNALS**

- Ecological Modeling (Elsevier).
- Chaos, Soliton and Fractal (Elsevier)
- Ecological Complexity (Elsevier)
- Nonlinear Analysis: Real World Applications (Elsevier)
- International Journal of Biomathematics (World Scientific)
- AMS MathSciNet - American Mathematical Society
- Acta Mathematica Scientia (Springer)
- International Journal of Computer Mathematics (Taylor & Francis)
- Applications and Applied Mathematics: An International Journal (AAM)
- Turkic World Mathematical Society (TWMS) Journal of Applied and Engineering Mathematics

**FOREIGN VISIT**** **

** ****Italy, Greece, Hong Kong.**** **