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Vikas Rai
Vikas Rai
Professor of Mathematical Modeling, Department of Mathematics, Eritrea Institute of Technology, Erit
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Cited by
Year
Why chaos is rarely observed in natural populations
RK Upadhyay, V Rai
Chaos, Solitons & Fractals 8 (12), 1933-1939, 1997
1151997
Chaos: an ecological reality?
RK Upadhyay, SRK Iyengar, V Rai
International Journal of Bifurcation and Chaos 8 (06), 1325-1333, 1998
1111998
Chaotic population dynamics and biology of the top-predator
V Rai, RK Upadhyay
Chaos, Solitons & Fractals 21 (5), 1195-1204, 2004
652004
Chaos in ecology
V Rai, WM Schaffer
Chaos, Solitons & Fractals 12 (2), 197-203, 2001
582001
Period-doubling bifurcations leading to chaos in a model food chain
V Rai, R Sreenivasan
Ecological modelling 69 (1-2), 63-77, 1993
551993
Crisis-limited chaotic dynamics in ecological systems
RK Upadhyay, V Rai
Chaos, Solitons & Fractals 12 (2), 205-218, 2001
532001
Chaos in natural populations: edge or wedge?
V Rai
Ecological Complexity 1 (2), 127-138, 2004
522004
Stability and complexity in ecological systems
RK Upadhyay, SRK Iyengar, V Rai
Chaos, Solitons & Fractals 11 (4), 533-542, 2000
412000
Wave of chaos in a diffusive system: Generating realistic patterns of patchiness in plankton–fish dynamics
RK Upadhyay, N Kumari, V Rai
Chaos, Solitons & Fractals 40 (1), 262-276, 2009
382009
Dynamical consequences of predator interference in a tri-trophic model food chain
RK Naji, RK Upadhyay, V Rai
Nonlinear analysis: Real world applications 11 (2), 809-818, 2010
362010
Complex dynamics and synchronization in two non-identical chaotic ecological systems
RK Upadhyay, V Rai
Chaos, Solitons & Fractals 40 (5), 2233-2241, 2009
352009
Wave of chaos and pattern formation in spatial predator-prey systems with Holling type IV predator response
RK Upadhyay, N Kumari, V Rai
Mathematical Modelling of Natural Phenomena 3 (4), 71-95, 2008
312008
Evolving to the edge of chaos: Chance or necessity?
V Rai, RK Upadhyay
Chaos, Solitons & Fractals 30 (5), 1074-1087, 2006
302006
Dynamical complexities in a tri-trophic hybrid food chain model with Holling type II and Crowley–Martin functional responses
RKK Upadhyay, SNN Raw, V Rai
Nonlinear Analysis: Modelling and Control 15 (3), 361-375, 2010
292010
How do ecosystems respond to external perturbations?
RK Upadhyay, V Rai, SRK Iyengar
Chaos, Solitons & Fractals 11 (13), 1963-1982, 2000
282000
Trophic structure and dynamical complexity in simple ecological models
V Rai, M Anand, RK Upadhyay
ecological complexity 4 (4), 212-222, 2007
252007
Modeling the temporal distribution of water, ammonium-N, and nitrate-N in the root zone of wheat using HYDRUS-2D under conservation agriculture
PM Shafeeq, P Aggarwal, P Krishnan, V Rai, P Pramanik, TK Das
Environmental Science and Pollution Research 27, 2197-2216, 2020
222020
Genetic variability, correlation and path coefficient analysis of tomato (Lycopersicon esculentum Mill.).
M Vyas, AK Singh, VK Rai, M Ramanand
Environment and Ecology 29 (3), 1076-1081, 2011
222011
Species extinction problem: genetic vs ecological factors
RK Upadhyay, V Rai, SRK Iyengar
Applied Mathematical Modelling 25 (11), 937-951, 2001
212001
Modeling a wetland system: the case of Keoladeo National Park (KNP), India
V Rai
ecological modelling 210 (3), 247-252, 2008
202008
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