| 1 |
Approximation of common fixed points in 2-Banach spaces with applications. |
D. Ramesh Kumar, M. Pitchaimani |
Appl. Gen. Topology |
1 |
2019 |
43 - 55 |
| 2 |
Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses. |
S.P. Rajesekar, M. Pitchaimani |
Chaos, Solitons and Fractals, |
Elsevier, 118 |
2019 |
207-221 |
| 3 |
Dynamic threshold probe of stochastic SIR model with saturated incidence rate and saturated
treatment function. |
S.P. Rajesekar , M. Pitchaimani, Quanxin Zhu |
Physica A |
Elsevier, 535 |
2019 |
122300 |
| 4 |
Stability of Stochastic SIRS Model with Variable Diffusion Rates. |
R. Rajaji , M. Pitchaimani, W.H. Lim |
Nonlinear Functional Analysis and Applications |
23(1) |
2018 |
31-48 |
| 5 |
Approximation and stability of common fixed points of Presic mappings in ultrametric spaces. |
D. Ramesh Kumar, M. Pitchaimani |
J. Fixed Point Theory Appl. |
20(1)-Springer |
2018 |
1-21 |
| 6 |
New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process. |
D. Ramesh Kumar, M. Pitchaimani |
Transactions of A. Razmadze Mathematical Institute |
Elsevier, DOI:org/10.1016/j.trmi.2018.01.006. |
2018 |
|
| 7 |
An analysis of the delay-dependent HIV-1 protease inhibitor model. |
M. Divya , M. Pitchaimani |
International Journal of Biomathematics |
World Scientific, 11(3) |
2018 |
1-22 |
| 8 |
Geometric Stability Switch Criteria in HIV-1 Infection Delay Model. |
C. Monica , M. Pitchaimani |
Journal of Nonlinear Science |
Springer, 1-19 |
2018 |
doi.org/10.1007/s00332-018-9481-y |
| 9 |
Global Analysis of Stochastic SIR Model with Variable Diffusion Rates. |
M. Pitchaimani , S.P. Rajesekar |
Tamkang Journal of Mathematics |
49(2) |
2018 |
155-182 |
| 10 |
Effects of Randomness on Viral Infection Model with Application. |
M. Pitchaimani , M. Brasanna Devi |
IFAC Journal of Systems and Control |
Elsevier, 6 |
2018 |
53-69 |
| 11 |
Fixed Point Theorems for Multivalued Nonlinear Contraction Mapping in G-Metric
Space. |
M. Pitchaimani ,Pavana Devassykutty, W.H. Lim |
Nonlinear Functional Analysis and Applications |
23(4) |
2018 |
723-742 |
| 12 |
Analysis of Stochastic Viral Infection Model with Immune Impairment |
M. Pitchaimani,R. Rajaji |
International Journal of Applied and Computational Mathematics |
Springer, DOI 10.1007/s40819017-0314-8 |
2017 |
|
| 13 |
Modeling and bifurcation analysis of a viral infection with time delay and immune impairment |
M. Pitchaimani , P. Krishnapriya |
Japan Journal of Industrial and Applied Mathematics |
Springer, DOI 10.1007/s13160-017-0240-5 |
2017 |
|
| 14 |
Set-valued contraction mappings of Pre?si´c-Reich type in ultrametric spaces |
M. Pitchaimani, D. Ramesh Kumar |
Asian-European Journal of Mathematics |
World Scienti?c, 10(4) (2017) 1750065(115) DOI: 10.1142/S1793557117500656. |
2017 |
|
| 15 |
On Nadler type results in ultrametric spaces with application to well-posedness |
M. Pitchaimani, D. Ramesh Kumar |
Asian-European Journal of Mathematics |
World Scienti?c, 10(4) (2017) 1750073 (115) DOI: 10.1142/S1793557117500735 |
2017 |
|
| 16 |
Mathematical analysis of an in?uenza A epidemic model with discrete delay |
P. Krishnapriya, M. Pitchaimani, Tarynn M. Witten |
Journal of Computational and Applied Mathematics |
Elsevier, Volume 324 (11) (2017) (155 - 172) DOI: org/10.1016/j.cam.2017.04.030. |
2017 |
|
| 17 |
Generalized Nadler type results in ultrametric spaces with application to well-posedness |
M. Pitchaimani, D. Ramesh Kumar |
Afr. Mat., |
Springer, 28 (2017) 957-970 |
2017 |
|
| 18 |
A generalization of set-valued Pre?si´c-Reich type contractions in ultrametric spaces with applications |
M. Pitchaimani, D. Ramesh Kumar |
J. Fixed Point Theory Appl. |
Springer, 19(3) (2017) 1871-1887 |
2017 |
|
| 19 |
Analysis of stability and Hopf bifurcation
for HIV-1 dynamics with PI and three intracellular delays |
C. Monica and M. Pitchaimani |
Nonlinear Analysis: Real World Applications |
27 |
2016 |
55-69 |
| 20 |
Optimal control of mixed immunotherapy and chemotherapy of tumours with discrete delay. |
P. Krishnapriya and M. Pitchaimani |
International Journal of Dynamics and Control, Springer-Verlag |
|
2016 |
|
| 21 |
Common and coincidence ?xed point theorems for asymptotically regular mappings in 2-Banach spaces |
M. Pitchaimani, D. Ramesh Kumar |
Nonlinear Functional Analysis and Applications |
21(1), 131-144 |
2016 |
|
| 22 |
On construction of ?xed point theory under implicit relation in Hilbert spaces |
M. Pitchaimani, D. Ramesh Kumar |
Nonlinear Functional Analysis and Applications |
21(3), 513-522 |
2016 |
|
| 23 |
Stochastic Asymptotic Stability of Nowak-May Model with Variable Di?usion Rates |
M. Pitchaimani,R. Rajaji |
Methodology and Computing in Applied Probability |
Springer, 18(3), 901-910 |
2016 |
|
| 24 |
Analysis of time delay in viral infection model with immune impairment |
M. Pitchaimani , P. Krishnapriya |
Sohag Journal of Mathematics |
Natural Sciences Publishing, 3(3), 105-112 |
2016 |
|
| 25 |
A mathematical model of HIV-1 infection within host cell to cell viral transmissions with RTI and discrete delays |
M. C. Maheswari, P. Krishnapriya, K. Krishnan,M. Pitchaimani |
Journal of Applied Mathematics and Computing |
Springer, DOI 10.1007/s12190-0161066-z |
2016 |
|
| 26 |
Analysis of HIV-1 Model: Within Host Cell to Cell Viral Transmission with ART |
M. Pitchaimani , P. Krishnapriya |
Nonlinear Functional Analysis and Applications |
21(4), 597-612 |
2016 |
|
| 27 |
Analyzing on stability of HIV-PI model with general incidence rate |
M. Divya, M. Pitchaimani |
Journal of Applied Mathematics and Computing |
Springer, DOI 10.1007/s12190-016-1073-0 |
2016 |
|
| 28 |
Mathematical modeling
of intra venous glucose tolerance test model with two discrete
delays. |
M. Pitchaimani and P. Krishnapriya, C. Monica |
Journal of Biological Systems, World Scientific |
23(4) |
2015 |
631-660 |
| 29 |
Some common fixed point theorems using implicit relation in 2-Banach spaces |
M. Pitchaimani, D. Ramesh Kumar |
Surveys in Mathematics and its Applications |
10, 159-168 |
2015 |
|
| 30 |
Global stability analysis of HIV-1
infection model with three time delays. |
M. Pitchaimani, C. Monica |
Journal of Applied Mathematics and Computing |
48(1-2) |
2014 |
293-319 |
| 31 |
Unique Estimation
of Solid Tumour Growth Gompertz Parameter and Its Sensitivity
Behaviour. |
M. Pitchaimani, G. Somasundara Ori and Tim Eakin |
British Journal of Mathematics & Computer |
4(8) |
2014 |
2603-2617 |
| 32 |
Maximum life span predicitions using Gompertz tumour Growth Model. |
M. Pitchaimani, G. Somasundara Ori |
IOSR. Journal of Mathematics |
10(6) |
2014 |
55-62 |
| 33 |
Existence of a critical allometry model parameter and its asymptotic expression. |
M. Pitchaimani |
Journal of Applied Mathematics and Computing |
41, No. 1-2, Springer |
2013 |
133 – 152 |
| 34 |
Stability analysis for HIV
infection delay model with protease inhibitor. |
M. Pitchaimani, C. Monica and M.Divya |
BioSystems |
114 |
2013 |
118-124 |
| 35 |
Existence and Estimation of Negative
critical allometry model parameter. |
M. Pitchaimani and R.Asokan, |
Int.J. Emer.Sci and Engg |
1(11) |
2013 |
78-86 |
| 36 |
Homotopy perturbation method for solving a model for HIV-1 Infection. |
M. Pitchaimani, M. Divya |
International journal of Mathematical Science |
Vol 11, No. 3-4 |
2012 |
411-421 |
| 37 |
Stability analysis for HIV-1 infection dynamics using the matrix Lambert W function. |
M. Pitchaimani, C. Monica |
International journal of Mathematical Science, |
Vol 11, No. 3-4 |
2012 |
411-421 |
| 38 |
Introduction to Estimation of Survival Model Parameters. |
M. Pitchaimani |
Mathematics Newsletter |
20(3) |
2011 |
33-44 |
| 39 |
E.S. Lakshminarayanan and M. Pitchaimani. Unique Estimation of Mortality rates in Gompertz survival model Parameters Appl. Math. Lett. Vol 16, No. 2, 211-219 (2003). |
|
|
|
|
|
| 40 |
E.S. Lakshminarayanan and M. Pitchaimani. On Existence of Gom- pertz Parameters and its Asymptotic Formulae for a Large Population. Appl. Math. Lett. Vol 17, No. 2, 173-180 (2004) |
|
|
|
|
|
| 41 |
E.S. Lakshminarayanan and M. Pitchaimani. A Note on Gompertz Survival Parameters: Estimation and Sensitivity. Advances in Applied Mathematics and Statistics,Eds., G. Arivarignan and A. Sundaram, MKU, pp: 143 - 146, (2003). |
|
|
|
|
|
| 42 |
E.S. Lakshminarayanan and M. Pitchaimani. Existence of Critical Gompertz Parameter and Its Asymptotic Expression. Comp. and Math. with Appl. Vol 55,1302-1309, (2008). |
|
|
|
|
|
| 43 |
E.S. Lakshminarayanan and M. Pitchaimani. Existence and Estimation of Negative Critical Gompertz Parameters. Comp. and Math. with Appl. Vol 55, 1686-1692, (2008). |
|
|
|
|
|
| 44 |
M. Pitchaimani. Maximum Lifespan prediction from the Gompertz model and estimation of negative Gompertz parameter. Journal of Ap- plied Statistical Sciences (accepted for publications). |
|
|
|
|
|
| 45 |
M. Pitchaimani. Estimation and Sensitivity of Gompertz parameter with mortality deceleration rate. Journal of Applied Mathematics and Computing. Vol. 18 No.1-2, 311-320 (2005). |
|
|
|
|
|
| 46 |
M. Pitchaimani and Tim Eakin. Unique Estimation of Gompertz Pa- rameters with Mortality Deceleration Rate. Mathematical and Com- puter Modeling. Vol. 47, 104-114 (2008). |
|
|
|
|
|
| 47 |
M. Pitchaimani and Tim Eakin. Existence and Estimation of Gompertz parameters with Mortality deceleration rate and their Asymptotic Formu- lae for a Large Population. Mathematical and Computer Modeling. Vol. 46, 1477-1486 (2007) . |
|
|
|
|
|
| 48 |
M. Pitchaimani and Tim Eakin. Estimation and Sensitivity of Allom- etry Model Parameters. Int. J. Pure and Appl. Math. Vol. 38, 251-270 (2007). |
|
|
|
|
|
| 49 |
M. Pitchaimani. Maximum Lifespan prediction from the Gompertz model. Int. J. Math. Game Theory and Algebra Vol. 17 No. 1/2 57-67 |
|
|
|
|
|
| 50 |
M. Pitchaimani. Gompertzian Model for Tumor Growth. Int. J. Pure and Appl. Math. Sci. (in press). |
|
|
|
|
|
| 51 |
R. Asokan and M. Pitchaimani. Nonclassical Symmetries and Direct Similarity Analysis of a Nonlocal Gaseous Ignition Model. Int. J. Pure and Appl. Math. Vol.41, No.5,737-748(2007). |
|
|
|
|
|
| 52 |
Auto-Backlund transformation, Lax pairs and Painleve property of ut + p(t)uux + q(t)uxxx + r(t)u = 0. Int.J. Math. Game Theory and Algebra (in press). |
R. Asokan, M. Pitchaimani. |
|
|
|
|
| 53 |
Uniqueness of allometry model parameters. Journal of Applied Mathematics and Computing. Vol. 28, 485-5000 (2008). |
M. Pitchaimani. |
|
|
|
|
| 54 |
Existence of allometry model parameters and their asymptotic formulae for a large population. Journal of Applied Mathematics and Computing.DOI 10.1007/s12190-009-0348-0 |
M. Pitchaimani |
|
|
|
|
| 55 |
Stability of frailty model parameters. Journal of Applied Mathematics ( in press). |
M. Pitchaimani. |
|
|
|
|