International Science Community Association International Research Journal of Biological Sciences 2278 - 3202 1 2 2012 June 10 Stability of the Six Equilibrium States between CN and G-CSF with Infectives Growth Rate Progression: A FFT Study 55 60 EN Muhammad Jamshed Khan 1 Faculty of Veterinary Sciences, Bahauddin Zakariya University, Multan, PAKISTAN Asad Abbas 2 University of Salmanca, SPAIN Mazhar Ayaz 3 Faculty of Veterinary Sciences, Bahauddin Zakariya University, Multan, PAKISTAN Naeem Muhammad 4 Institute of Applied and Pure Biology, Bahauddin Zakariya University, Multan, PAKISTAN Saleem Qadir 5 University of Agriculture, Faisalabad, PAKISTAN Muhammad Saleem Akhter 6 Faculty of Veterinary Sciences, Bahauddin Zakariya University, Multan, PAKISTAN Zia Waseem 7 Livestock and Dairy department, Government of Punjab, PAKISTAN P. Muthusamy 1 Department of Biotechnology, Karunya University,Tamil Nadu, INDIA S. Murugan 2 Department of Biotechnology, Karunya University,Tamil Nadu, INDIA Smitha Manothi 3 Department of Biotechnology, Karunya University,Tamil Nadu, INDIA Nishi K. 1 Department of Biology and Environmental Sciences, CSK Himachal Pradesh Krishi Vishwavidyalaya, Palampur, Himachal Pradesh, INDIA N.K. Gupta 2 Department of Biology and Environmental Sciences, CSK Himachal Pradesh Krishi Vishwavidyalaya, Palampur, Himachal Pradesh, INDIA S.C. Sharma 3 Department of Biology and Environmental Sciences, CSK Himachal Pradesh Krishi Vishwavidyalaya, Palampur, Himachal Pradesh, INDIA Kumar Praveen G.N. 1 Department of Biotechnology, Acharya Institute of Technology, Soladevanahalli, Bangalore-560 090, INDIA Sumangala K. Bhat 2 Department of Biotechnology, Acharya Institute of Technology, Soladevanahalli, Bangalore-560 090, INDIA Nacua Sherwin S. 1 Biology Department, Mindanao State University, Marawi City, PHILIPPINES Torres Mark Anthony J. 2 Department of Biological Sciences, MSU-Iligan Institute of Technology, 9200 Iligan City, PHILIPPINES Cesar G. Demayo 3 Department of Biological Sciences, MSU-Iligan Institute of Technology, 9200 Iligan City, PHILIPPINES Chaitra R. Hegde 1 Dept. of Microbiology, A Div. of Centre for Advanced Studies in Biosciences, Jain University, Bangalore, INDIA Madhuri M. 2 Dept. of Microbiology, A Div. of Centre for Advanced Studies in Biosciences, Jain University, Bangalore, INDIA Nishitha Swaroop T. 3 Dept. of Microbiology, A Div. of Centre for Advanced Studies in Biosciences, Jain University, Bangalore, INDIA Arijit Das 4 Dept. of Microbiology, A Div. of Centre for Advanced Studies in Biosciences, Jain University, Bangalore, INDIA Sourav Bhattacharya 5 Dept. of Microbiology, A Div. of Centre for Advanced Studies in Biosciences, Jain University, Bangalore, INDIA Rohit K.C. 6 Sapthagiri College of Engineering, Bangalore, INDIA Manju Junwal 1 Department of Zoology, Govt. Madhav Science College, Ujjain, MP, INDIA Ismail Bhai 2 Department of Zoology, Govt. Madhav Science College, Ujjain, MP, INDIA Jayshree Jatwa 1 Department of Zoology Govt. Madhav Science College Ujjain-456010 INDIA Ismail Bhai 2 Department of Zoology Govt. Madhav Science College Ujjain-456010 INDIA V. Verma 1 Presently Molecular Sciences and Nanotechnology, College of Eng. and Science, Louisiana Tech University, Ruston 71270 USA A. Bhardwaj 2 Department of Biotechnology, National Institute of Technology, Raipur-492010, INDIA S. Rathi 3 1Department of Biotechnology, National Institute of Technology, Raipur-492010, INDIA R.B. Raja 4 1Department of Biotechnology, National Institute of Technology, Raipur-492010, INDIA S. Balamuralitharan 1 Department of Mathematics, Sri Ramanujar Engineering College, Chennai-48, INDIA S. Rajasekaran 2 Department of Mathematics, B.S. Abdur Rahman University, Chennai-48, INDIA > Research Paper 2012 6 1 2012 June 10 In this paper we have investigated a stability of the equilibrium states between CN (Cyclical Neutropenia) and G-CSF (granulocyte-colony stimulating factor) with infective growth rate progression. Mathematical models and FFT (fast fourier transform) simulations can be used as experimental tools for testing the control- measures and determining sensitivities of changes in parameter values. The paper deals with an investigation on a four parameters estimates consisting of cure rate (c), infective rate (I), absolute neutrophil count (A) and total carrying capacity (K) only. All six equilibrium points for this model are identified and their stability criteria are analyzed. Mathematical modelling of epidemics can lead to and motivate new results in mathematics. Copyright@ International Science Community Association