Scientific Publications -- Journals

International

2018

- G Bhuju, GR Phaijoo and DB
Gurung, Mathematical
Study on Impact of Temperature in Malaria Disease Transmission Dynamics,
Advances in Computer Sciences,
**1**(2) (2018), DOI 10.31021/acs.20181107, 1-9

**2017**

- Shiv Prasad Neupane and Dil
Bahadur Gurung, Stability
Analysis of May's two Prey and two Predator Model, Neural, Parallel,
and Scientific Computation
**25**(2017) 435-455. - Sharmila Shrestha and Dil Bahadur Gurung, Finite Element Method Approach for Thermal Analysis of Female Breast Tissue Tumor Model. J Appl Bioinforma Comput Biol 6:3. doi: 10.4172/2329-9533.1000141
- Ganga Ram Phaijoo and Dil Bahadur Gurung, Modeling Impact of Temperature and Human Movement on the Persistence of Dengue Diseases, Computational and Mathematical Methods in Medicine, Volume 2017 (2017), Article ID 1747134, 9 pages https://doi.org/10.1155/2017/1747134
- Banani Roy, Sankar Kumar Roy,
Dil Bahadur Gurung,
*Holling-Tanner model with Beddington-DeAngelis functional response and time delay introducing harvesting*,**142**(2017) 1-14 https://doi.org/10.1016/j.matcom.2017.03.010 - G. R. Phaijoo and D. B. Gurung
(2017)
*Mathematical Model of Dengue Disease Transmission Dynamics with Control Measures*, Journal of Advances in Mathematics and Computer Science,**23**(3), 1-12, 2017; Article no.JAMCS.33955

2016

- G. R. Phaijoo and D. B. Gurung
(2016)
*Assessing the Role of Movement on Humans on Transmission of Dengue Disease between two Cities*, GAMS Journal of Mathematics & Mathematical Biosciences - A Special Issue on Certain Problems in Mathematical Biosciences,**5**, November 2016, 112-120. - G. R. Phaijoo and D. B. Gurung (2016) Mathematical Study of Dengue Disease Transmission in Multi-Patch Environment. Applied Mathematics, 7, 1521-1533. doi: 10.4236/am.2016.714132.
- G. R. Phaijoo and D. B. Gurung,
MATHEMATICAL MODEL ON ANALYSIS
OF AWARENESS IN CONTROLLING DENGUE DISEASE, International Journal of
Advanced Research (IJAR),
**4**(7), 2016, 999-1006 DOI: 10.21474/IJAR01 - D.B.Gurung, K.C.Gokul, P.R.Adhikary,
Mathematical
model of thermal effects of blinking in human eye, International Journal
of Biomathematics,
**9**(1), 2016, 1650006 (24 pages) DOI:10:1142/S1793524516500066 - S. Acharya, D.B.Gurung, V.P.Saxena,
Mathematical modeling
of sex related differences in the sensitity of the sweating heat responses
to change body temperature, British Journal of Mathematics & Computer
Science,
**12**(4):1-11, 2016. DOI : 10.9734/BJMCS/2016/20068

**2015**

- G.R.Phaijoo, D.B.Gurung,
*Analysis of dengue disease transmission with the awareness in both susceptible and in infected host population*, GAMS Journal of Mathematics & Mathematical Biosciences,**5**(1), December 2015, 76-85. - G.R.Phaijoo, D.B.Gurung, Mathematical
model of dengue fever with and without awareness in host population,
International Journal of Advanced Engineering Research and Applications
(IJAERA),
**1**(6), October 2015, 239-245. - K.C.Gokul, D.B.Gurung, P.R.Adhikary,
*Mathematical Model: Comparative study of thermal effects of laser in cornear refractive surgeries*, Applications and Applied Mathematics,**10**(1), 2015, 620-633. - S. Acharya, D.B.Gurung, V.P.Saxena,
*Two dimensional finite element method for metabolic effect in thermoregulation on human males and females skin layers*, Journal of Coastal Life Medicine,**3**(8), 2015, 623-629. doi: 10.12980/JCLM.3.2015J5-38

**2014**

- K.C.Gokul, D.B.Gurung, P.R.Adhikary,
*Modeling airflow effects in human eye temperature with and without eyelids*, Int. J. Appl. Math. and Mech.,**10**(10), 2014, 82-98. - K.C.Gokul, D.B.Gurung, P.R.Adhikary,
*Thermal effects of Eyelid in Human Eye Temperature Model*, J. Appl. Math. & Informatics,**32**(5-6), 2014, 649-663. http://dx.doi.org/10.14317/jami.2014.649. - Saraswati Acharya, D.B.Gurung,
V.P.Saxena,
*Human Males and Females body thermoregulation: Perfusion Effect Analysis*, Journal of Thermal Biology,**45**, October 2014, 30-36. DOI: 10.1016/j.jtherbio.2014.07.006 (Published by Elsevier). - Ganga Ram Phaijoo, Dil B Gurung,
*Dengue and Mathematical Model*, Apoorv Knowledge - International Journal of Multidisciplinary Research,**1**(5): December 2014, 5-8.

**2013**

- Kafle, J., Kattel, P., Pokhrel,
P. R., Khattri, K. B., Gurung, D. B., Pudasaini, S. P.,
*Dynamic Interaction Between a Two-Phase Submarine Landslide and a Fluid Reservoir*, Int. J. Lsld. Env.**1**(1), 2013, 35-36. - Kattel, P., Kafle, J., Pokhrel,
P. R., Khattri, K. B., Gurung, D. B., Pudasaini, S. P.,
*Dynamics of Three-Dimensional, Two-Phase Landslides and Debris Flows*, Int. J. Lsld. Env.**1**(1), 2013, 39-40. - Khattri, K. B., Pokhrel, P.
R., Kattel, P., Kafle, J., Gurung, D. B., Pudasaini, S. P.,
*Some New Insights into the Fluid Flows in Debris Material and Porous Landscape*, Int. J. Lsld. Env.**1**(1), 2013, 43-44. - Pokhrel, P. R., Khattri, K.
B., Kattel, P., Kafle, J., Gurung, D. B., Pudasaini, S. P., Enhanced
Descriptions of Real Two-Phase Landslides and Debris Flows, Int. J.
Lsld. Env.
**1**(1), 2013, 75-76. - Gokul KC, Dil Bahadur Gurung,
Pushpa Raj Adhikary,
*FEM Approach for Transient Heat Transfer in Human Eye,*Applied Mathematics,**4**(October 2013), 30-36. http://dx.doi.org/10.4236/am.2013.410A2003. - Suresh Baral, Shiva P. Pudasaini,
Sanjay Nath Khanal, Dil Bahadur Gurung,
*Mathematical modelling, finite element simulation and experimental validation of biogas-digester slurry temperature*, International Journal of Energy and Power Engineering**2**(3) 2013; 128-135. - Saraswati Acharya, D. B. Gurung,
V. P. Saxena,
*Effect of Metabolic Reactions on Thermoregulation in Human Males and Females Body*, Applied Mathematics, 4 (May 2013), 39-48. doi:10.4236/am.2013.45A005. - Gokul KC, D. B. Gurung and
P. R. Adhikary,
*Effect of Blood Perfusion and Metabolism in Temperature Distribution in Human eye*, Advances in Applied Mathematical Biosciences,**4**(1) (2013), 13-23.

**2012**

- B. P. Sapkota and D. B. Gurung,
*Mathematical Modeling of Indoor Air Pollutants Distribution from Biomass Cook Stoves in Nepal*, International Journal of Mathematical Sciences,**11**(3-4) (2012), ISBN 0972 – 574 X, 561-569, New Delhi.

**2010**

- D. B. Gurung, and V. P. Saxena,
*Peripheral temperature distribution in human subjects exposed to wind flow*, International eJournal of Mathematics and Engineering (IeMAE), (2010), 728-740. - D. B. Gurung, and V. P. Saxena,
*Transient temperature distribution in human dermal part with protective layer at low atmospheric temperature*, International Journal of Biomathematics, 3(4) (2010) 439-451. - D. B. Gurung,
*Ambient temperatures for cold effect thermal stresses on human body*, JEMPS,**1**(1) (2010), 9-14.

**2009**

- D. B. Gurung and P R Adhikary,
*Two-dimensional transient temperature distributions in human dermal part at low atmospheric temperature*, GAMS Journal of Mathematics and Mathematical Biosciences,**2**(1&2), (2009), 37-47. - D. B. Gurung, V. P. Saxena
and P. R. Adhikary.,
*FEM approach to one dimensional unsteady state temperature distribution in human dermal parts with quadratic shape functions*, J. Appl. Math. & Informatics,**27**(2009), 301-313.

**2007**

- V. P. Saxena, P. R. Adhikary
and D. B. Gurung.,
*Quadratic shape function Fem approach to temperature distribution problem in peripheral layers of human body*, Bulletin of the Allahabad Mathematics Society,**22**(2007), 21-36. MR2332384, 92C50. Zbl 1122.92020 MSC 92C30 80A20 65M60 92C05 92C50. - V. P. Saxena, P. R. Adhikary
and D. B. Gurung.,
*Mathematical study of heat regulation in human dermal parts with variable heterogeneity*, PROC. NAT. ACAD. SCI. IND,**77**(A-IV)(2007), p: 332-337. Zbl 1190.92005. MSC92C30 65N30 80A20.

National

- Dil B Gurung, Dev Chandra Shrestha,
*Mathematical study of temperature distribution in human dermal part during physical exercises*, Journal of Institute of Engineering,**12**(1), 2016, 63-76. - G.R.Phaijoo, D.B.Gurung, Mathematical
study of biting rates of mosquitoes in transmission of dengue disease,
Kathmandu University Journal of Science, Engineering and Technology (KUSET),
**11**(2), December 2015, 25-33. - Gokul K C, D B Gurung, P R
Adhikary,
*Transient thermal model of airflow effects in human eye temperature*, Kathmandu University Journal of Science, Engineering and Technology,**9**(2), December 2013, 47-58. - Kabita Luitel and D. B. Gurung,
*Bessel functions for temperature distribution in cylindrical human body*, The Nepali Math. Sc. Report,**32**(1 & 2) (2012), 19-28. - D. B. Gurung,
*Two Dimensional Temperature Distribution Model in Human Dermal Region Exposed at Low Ambient Temperatures with Air Flow*, Kathmandu University Journal of Science, Engineering and Technology (KUSET),**8**(II), December 2012, 11-24. - Saraswati Acharya and D. B.
Gurung,
*Time Dependent Temperature Distribution Model in Layered Human Dermal Part*, Kathmandu University Journal of Science, Engineering and Technology,**8**(II), December 2012, 66-76. - D. B. Gurung, and Saraswati
Acharya,
*Five layered temperature distribution in human dermal part*, The Nepali Math. Sc. Report,**31**(1 & 2) (2011), 15-28. - D. B. Gurung.,
*Thermoregulation through skin at low atmospheric temperatures*, Kathmandu University Journal of Science, Engineering and Technology (KUSET),**5**(1) (2009), 14-22. - D. B. Gurung.,
*Theorem – Methods of Proof!*, Mathematics Education Forum, Published by Council for mathematics education, Kathmandu Nepal, Issue**23**, Volume I (2008), 8-9. - D. B. Gurung.,
*Irrationality of $\sqrt{2}$ through principle of infinite descent*, Mathematics Education Forum, Published by Council for mathematics education, Kathmandu Nepal, Issue**22**, Volume II, (2007), 27--29. - V. P. Saxena, P. R. Adhikary
and D. B. Gurung.,
*Mathematical estimation of unsteady state burn damage due to hot temperature*, The Nepali Math. Sc. Report,**27**(1 & 2) (2007), 75-84. - D. B. Gurung.,
*Necessary and sufficient conditions: Language of logic in mathematics*, Mathematics Education Forum, published by Council for mathematics education, Kathmandu, Nepal, Issue**21**, Vol. I (2007), 24-26. - V. P. Saxena, P. R. Adhikary
and D. B. Gurung.,
*Variational finite element approach to estimate burn injury damage*, The Nepali Math. Sc. Report,**25**(2) (2005) 59-68.

Scientific Publications -- Proceedings

International

- G R Phaijoo and D B Gurung, The role of temperature and human movement in the spread of dengue between two patches, Proceedings of the International Conference on Computational Modelling and Simulation 17-19 May 2017, University of Colombo, Sri Lanka, 56-59.
- H R Pandey and D B Gurung, Analytical and Numerical solution of one-dimensional bioheat transfer equation, International Forum for Mathematical Modeling 2014, University of Colombo, Sri Lanka, 11 – 14.
- S Acharya, D B Gurung and V P Saxena, Temperature distribution model in extreme environment due to perfusion in human body of males and females, International Forum for Mathematical Modeling 2014, University of Colombo, Sri Lanka, 15 – 18.
- K C Gokul, D B Gurung and P R Adhikary, Thermal effects of air flow in temperature distribution in human eye, International Forum for Mathematical Modeling 2014, University of Colombo, Sri Lanka, 19 – 23.
- B. P. Sapkota and D. B. Gurung, Mathematical Modeling of Indoor Air Pollutant Distribution using two compartment Box Method, Proceedings of National Seminar on Mathematical Modeling in Science and Technology, ISBN 978-93-82732-05-02, 1-9 (2012), Bhiwani, Haryana.

National

- Ganga Ram Phaijoo & Dil B Gurung, Mathematical study of dengue disease tranmission with the mobility of host population between two cities, pp. 95-100, Proceedings of two day seminar from Semptember 21-22, 2015 held at CDM, Kirtipur on Recent Developments in Mathematics and its Applications.
- Shiv Prasad Neupane & Dil B Gurung, Stability analysis of May's Predator-prey model for n = 2, pp. 17-25, Proceedings of two day seminar from Semptember 21-22, 2015 held at CDM, Kirtipur on Recent Developments in Mathematics and its Applications.
- Sharmila Shrestha & Dil B Gurung, Finite difference and stability analysis in one dimensional heat equation, pp. 32-37, Proceedings of two day seminar from Semptember 21-22, 2015 held at CDM, Kirtipur on Recent Developments in Mathematics and its Applications.
- Raj Kumar Pradhan & Dil B Gurung, Galerkin FEM in second order linear ODE, pp. 17-25, Proceedings of two day seminar from Semptember 21 - 22, 2015 held at CDM, Kirtipur on Recent Developments in Mathematics and its Applications.
- D B Gurung, Models on Bio-heat Transfer Equation in Living Tissue and Some Applications, Proceedings of National Conference on Mathematics (NCM 2014) Published by Nepal Mathematical Society, 21-25, 2014.
- Gokul K C, D B Gurung and P R Adhikary, Modeling Thermal Effects of Laser in Corneal Refractive Surgeries, Proceedings of National Conference on Mathematics (NCM 2014) Published by Nepal Mathematical Society, 42-47, 2014.
- Saraswati Acharya, D B Gurung and V P Saxena, A Mathematical Study of Temperature Regulation by Sweating during Females follicular and Luteal Phases, Proceedings of National Conference on Mathematics (NCM 2014) Published by Nepal Mathematical Society, 57-62, 2014.
- Ganga Ram Phaijoo and D B Gurung, Model on Blood Flow Characteristics Study During Catheterization in a Stenosed Artery, Proceedings of National Conference on Mathematics (NCM 2014) Published by Nepal Mathematical Society, 68-73, 2014.
- Prem Gurung and D B Gurung, Vertically Atmospheric Pollutant Distribution Model with Dry deposition and Gravitational Settling Velocity Effects, Proceedings of National Conference on Mathematics (NCM 2014) Published by Nepal Mathematical Society, 116-121, 2014.
- B. P. Sapkota and D. B. Gurung, A Study on the Distribution of the Indoor Air Pollutants From Biomass Cook Stoves using Analytical Method, The Proceedings of Operations Research Society Nepal, 113-120 (2012).
- Gokul KC, D. B. Gurung and P. R. Adhikary, FEM Approach for one dimensional temperature distribution in the human eye, Proceeding of National conference on Mathematics (Nepal Mathematical Society) (2012), 35-46.
- D. B. Gurung and Kabita Luitel, Development of Bio-heat equation and its Applications, Proceeding of National conference on Mathematics (Nepal Mathematical Society) (2012), 85-94.
- B. P. Sapkota and D. B. Gurung, A study on mathematical modeling of indoor air pollutant distribution from biomass cook stoves, Proceeding of National conference on Mathematics (Nepal Mathematical Society) (2012), 95-105.
- D. B. Gurung, Mathematical model for thermal stress due to hot and cold environment, Proceeding of Nepal Mathematical Society (NMS), (2010), 26 - 32.
- D. B. Gurung, and Saraswati Acharya, Mathematical estimation of temperature distribution in human dermal part, Proceeding of Nepal Mathematical Society (NMS) (2010), 54-59.
- V. P. Saxena, P. R. Adhikary and D. B. Gurung., Quadratic shape function finite element approach for numerical estimation of burn injury in human dermal parts, In Book “Mathematical Sciences and Its Application”, Edited by P.R.Adhikary and K.Jha, Published by Asha Memorial Foundation, Nepal, (2006),106-116.
- V. P. Saxena, P. R. Adhikary and D. B. Gurung., Variational finite element approach to study two-dimensional steady state temperature distributions in human dermal parts, Proceedings of the Seminar on “Mathematical Sciences and Applications”, Edited by Y.P.Koiral, published by Sukunda Pustak Bhawan, (2006), 57-74.
- D. B. Gurung., A Note on Wedderburn
– Artin Theorem of Simple Rings, Proceedings of IV National conference
on Science and Technology, (2004), 1560 - 1564.

Books

- Hemraj Pandey, Dil B Gurung,
*Analytic and numerical approximation solution of bio-heat equation: Modeling of bio-heat transfer equation*LAP LAMBERT academic publishing, February 2015, ISBN -- 13:978-3-659-68086, 10:3659680869. - Editorial member of
*Proceedings of National Conference of Mathematics (NCM - 2014)*held at Surkhet from January 28-30, 2014 (Magh 14-16,2070). - Co-author of
*Fundamental of Mathematics -- Grade XI*published by World Wide Publication, Nepal.