Research Publications:

International Journals:

1. Kalyan Kumar Pal, Rajanish Kumar Rai*, Pankaj Kumar Tiwari, Influences of media-induced awareness and sanitation practices on cholera epidemic: A study of bifurcation and optimal control, International Journal of Bifurcation and Chaos, World Scientific, 35(1), 2550002, 1-42, (2025), ISSN No- 02181274, (SCI) (Q1), IF-1.9.  https://doi.org/10.1142/S0218127425500026

2.  Kalyan Kumar Pal, Rajanish Kumar Rai, P. K. Tiwari, A. K. Misra*, Role of awareness programs on diabetes prevention and control of viral infection: A study of optimal control, The European Physical Journal Plus, Springer, 140:150 (2025), ISSN No- 2190-5444, (SCIE)(Q2) IF- 3.4. https://doi.org/10.1140/epjp/s13360-025-06063-z

3. Kalyan Kumar Pal, Rajanish Kumar Rai, Pankaj Kumar Tiwari*, Arvind Kumar Misra, Mathematical modeling of control measures for preventing kidney failure and managing diabetes: Sensitivity analysis and optimal strategies, Journal of Applied Mathematics and Computing, Springer (2025) ISSN No- 1598-5865, (SCIE)(Q1) IF- 2.2. https://link.springer.com/article/10.1007/s12190-025-02543-8 

4. Kalyan Kumar Pal, Nazmul Sk, Rajanish Kumar Rai, Pankaj Kumar Tiwari, Examining the impact of incentives and vaccination on COVID-19 control in India: addressing environmental contamination and seasonal dynamics, in The European Physical Journal Plus, Springer, (2024) 139:225, ISSN No- 2190-5444, (SCIE)(Q2) IF- 3.4. https://doi.org/10.1140/epjp/s13360-024-04997-4 

5. Rajanish Kumar Rai, Kalyan Kumar Pal, Pankaj Kumar Tiwari, Maia Martcheva, Arvind Kumar Misra*, Modeling the influence of social media and word-of-mouth on the transmission dynamics of non-communicable and communicable diseases, International Journal of Biomathematics, World Scientific, 2450094 (2024), 1-49, ISSN No- 17935245, (SCIE) (Q2), IF-2.4. https://doi.org/10.1142/S1793524524500943

6. Kalyan Kumar Pal, Rajanish Kumar Rai*, Pankaj Kumar Tiwari, Impact of psychological fear and media on infectious diseases induced by carriers, Chaos: An Interdisciplinary Journal of Nonlinear Science, AIP Publishing 34, 123168 (2024), 1-38, ISSN No- 1089-7682, (SCI) (Q1), IF-2.9. https://doi.org/10.1063/5.0217936

7. Kalyan Kumar Pal, Rajanish Kumar Rai*, P. K. Tiwari, Y. Kang, Role of incentives on the dynamics of infectious diseases: Implications from a mathematical model, The European Physical Journal Plus, 138: 564 (2023) ISSN No- 2190-5444, https://link.springer.com/article/10.1140/epjp/s13360-023-04163-2 [(SCI)(Q2) IF- 3.4, Springer].

8. R. K. Gupta, Rajanish Kumar Rai, P. K. Tiwari, Arvind Kumar Misra, Maia Martcheva*, A mathematical model for the impact of disinfectants on the control of bacterial diseases, Journal of Biological Dynamics, 17(1) 2206859, (2023) ISSN No- 17513758, https://doi.org/10.1080/17513758.2023.2206859 [(SCIE) (Q2), IF- 2.726, Taylor & Francis].

9. Rajanish Kumar Rai, P. K. Tiwari, Subhas Khajanchi*, Modeling the influence of vaccination coverage on the dynamics of COVID-19 pandemic with the effect of environmental contamination, Mathematical Methods in the Applied Sciences, (2023) 1-29, ISSN No-01704214. https://doi.org/10.1002/mma.9185 [(SCIE)(Q1), IF-3.007, Wiley Online Library].

10. P. K. Tiwari, Rajanish Kumar Rai, R.K. Gupta, Maia Martcheva, A. K. Misra*, Modeling the control of bacterial disease by social media advertisements: Effects of awareness and sanitation. Journal of Biological Systems, (2022), Vol. 30(1), pp. 51–92. ISSN No- 0218-3390. https://dx.doi.org/10.1142/S0218339022500024 [(SCIE)(Q2), IF- 1.10, World Scientific.]

11. Rajanish Kumar Rai, Subhas Khajanchi, P.K. Tiwari, Ezio Venturino, A.K. Misra*, Impact of social media advertisements on the transmission dynamics of COVID-19 pandemic in India. Journal of Applied Mathematics and Computing, (2022), Vol. 68, pp. 19-44, ISSN No-15985865. https://doi.org/10.1007/s12190-021-01507-y [(SCIE)(Q2), IF- 1.686, Springer Verlag.]

12. P. K. Tiwari, Rajanish Kumar Rai, Subhas Khajanchi, R. K. Gupta, A. K. Misra*, Dynamics of coronavirus pandemic: Effects of community awareness and global information campaigns. The European Physical Journal Plus, (2021), Vol. 136(10), pp. 994. ISSN No- 2190-5444. https://doi.org/10.1140/epjp/s13360-021-01997-6 [(SCI)(Q2), IF- 3.911, Springer Verlag.]

13. A.K. Misra, Rajanish Kumar Rai, P.K. Tiwari, Maia Martcheva*, Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Journal of Biological Dynamics, (2021), Vol. 15(1), pp. 395-429. ISSN No- 17513758. https://doi.org/10.1080/17513758.2021.1952322 1952322 [(SCI)(Q1), IF- 2.179, Taylor & Francis.]

14. P. K. Tiwari, Rajanish Kumar Rai, A. K. Misra* and J. Chattopadhyay, Dynamics of infectious diseases: Local versus global awareness. International Journal of Bifurcation and Chaos, (2021), Vol. 31(7), pp. 2150102, 1-26. ISSN No- 02181274. https://doi.org/10.1142/S0218127421501029 [(SCI)(Q1), IF-2.836, World Scientific.]

15. Rajanish Kumar Rai, Pankaj Kumar Tiwari, Yun Kang and Arvind Kumar Misra*, Modeling the effect of literacy and social media advertisements on the dynamics of infectious diseases. Mathematical Biosciences and Engineering, (2020), Vol. 17(5), pp. 5812–5848. ISSN No-15471063. http://dx.doi.org/10.3934/mbe.2020311 [(SCIE) (Q2), IF-2.080, American Institute of Mathematical Sciences (AIMS).]

16. Arvind Kumar Misra, Rajanish Kumar Rai*, Impacts of TV and radio advertisements on the dynamics of an infectious disease: A modeling study. Mathematical Methods in the Applied Sciences, (2019), Vol. 42(1), pp. 1262–1282. ISSN No-01704214. https://doi.org/10.1002/mma.5438 [(SCIE)(Q1), IF-2.321 Wiley Online Library.]

17. Rajanish Kumar Rai, Arvind Kumar Misra* and Yasuhiro Takeuchi, Modeling the impact of sanitation and awareness on the spread of infectious diseases. Mathematical Biosciences and Engineering, (2019), Vol. 16(2), pp. 667-700, ISSN No- 15471063. https://doi.org/10.3934/mbe.2019032 [(SCIE) (Q2), IF-2.080, American Institute of Mathematical Sciences (AIMS).]

18. Arvind Kumar Misra*, Rajanish Kumar Rai and Yasuhiro Takeuchi, Modeling the control of infectious diseases: Effects of TV and social media advertisements. Mathematical Biosciences and Engineering, (2018), Vol. 15(6), pp. 1315-1343. ISSN No- 15471063. http://dx.doi.org/10.3934/mbe.2018061 [(SCIE) (Q2), IF-2.080, American Institute of Mathematical Sciences (AIMS).]

19. A.K. Misra and Rajanish Kumar Rai*, A mathematical model for the control of infectious diseases: Effects of TV and radio advertisements. International Journal of Bifurcation and Chaos, (2018), Vol. 28(3), pp. 1850037, 1-27 ISSN No- 02181274. https://doi.org/10.1142/S0218127418500372 [(SCI) (Q1), IF-2.836, World Scientific.]

20. A.K. Misra*, Rajanish Kumar Rai and Yasuhiro Takeuchi, Modeling the effect of time delay in budget allocation to control an epidemic through awareness. International Journal of Biomathematics, (2018), Vol. 11(2), pp. 1850037, 1-20. ISSN No- 17935245. https://doi.org/10.1142/S1793524518500274 [(SCIE)(Q3), IF-2.053, World Scientific.]