Research paper entitled "Dynamical behaviour HIV / AIDS model using fractional Derivatives with Mittag-Leffler Kernel" was published by Dr. Amjad Shaikh (HOD),

 A research paper entitled "Analysis of Multi Term Fractional Differential Equations using Variational Iteration Method" was published by Dr. Amjad Shaikh (HOD), 


Q1 JOURNAL with  IMPACT FACTOR 6.626         


A mathematical model describing the HIV/AIDS transmission dynamics in the existence of an aware community using fractional differential operator having Mittag–Leffler kernel is presented and investigated in this paper. By using the fixed point theorem, the existence and uniqueness conditions of the model are obtained. We have used a novel technique known as the iterative Laplace transform approach to obtain the approximate solution of the mathematical model of HIV/AIDS based on the Atagana-Baleanu operator.We investigate the necessary conditions for the disease control in order to determine the role of unaware infective in the spread of HIV/AIDS. The numerical simulations and plots are demonstrated for different values of fractional order. Moreover, we have compared the obtained numerical results based on the Atagana-Baleanu operator with the values obtained using the Caputo operator for the suggested model. We believe that Atangana-Baleanue fractional derivative and the suggested algorithm are expected to be used in future to formulate and analyse many generalised fractional models.


Comments

Post a Comment

Popular posts from this blog

A Study Tour, Trip To Science Park, Chinchwad, Pune. December 2013

Image
A study Tour to  Science Park, Chinchwad, Pune. A study tour organized by the department of mathematics was held on 19th December  2013 to  Science Park,Chinchwad, Pune. The team of around 30 students of T.Y.B.Sc (Mathematics) and three   staff members visited the place.They enjoyed  simulated night sky with various  planets , stars, phases of moon, circumpolar sky on poles and many more features and concepts of basic astronomy.  They also visited various sections of the parks such as Dino park,Fun science,Climate change, energy park & amazing  3D show.They purchased many scientific toys  like mathematics puzzle, balloon  car etc for children, which can create awareness about mathematics & science. The tour has been proved Knowledgeable and beneficial to all of them. It has generated interest among   them about the wonders of science.Also it has created awareness about the various  applications o...
Read more

A trip to Nehru Planetarium and Science Park, Mumbai-January 2016

Image
A study Tour  to  Nehru Planetarium and Science Park, Mumbai. An Excursion Tour to visit Nehru Planetarium and Science park (Mumbai) was organized by the department on 16 January 2016 . The team of around 31 students of S.Y/T.Y.B.Sc (Mathematics) and three  staff members visited the place. The   visit inspired the students for higher studies. It was amazing experience for them  to learn about solar and Lunar eclipses, planets and stars.  They gain beautiful knowledge and  enjoyed  the tour. overall the tour was fruitful.  It has generated interest  among  them about the wonders of science and created awareness about the  various  applications of Mathematics in science and daily life.  A trip to Nehru Planetarium   Tour participants at Gateway of India
Read more

Intercollegiate Quiz Competition -2024

Image
  Department of mathematics, statistics in association with IQAC  had organized Intercollegiate Quiz Competition on 14th March 2024. The Competition marked a celebration of intellectual mastery and mathematical excellence. The event brought together enthusiastic participants from various colleges, like Nowrosjee Wadia College, Fergusson College, SM Joshi College, MIT-ADT University creating an environment of healthy competition. Total 50 participants have participated in quiz competitions of which 21 participants from outside colleges. The competition kicked off with an energizing quiz, testing participants' mathematical sharpness and problem-solving skills.   The event provided a platform for students to showcase their academic talents, fostered a sense of community among participants, and promoted interdisciplinary collaboration. Participants gained valuable insights into diverse mathematical concepts, refined their presentation skills. The   following are the...
Read more