Publications

@article{Singh2004,
title = {The role of heterogeneity on the spatiotemporal dynamics of host-parasite metapopulation},
author = {Brajendra K Singh and Subba J Rao and R Ramaswamy and Somdatta Sinha},
url = {https://ramramaswamy.org/papers/097.pdf},
doi = {10.1016/j.ecolmodel.2004.04.031},
issn = {03043800},
year = {2004},
date = {2004-01-01},
journal = {Ecological Modelling},
volume = {180},
number = {2-3},
pages = {435–443},
abstract = {Subpopulations of organisms in different habitat patches may differ from each other in biotic (e.g., inherent growth rate and interaction strength) and abiotic (e.g., climatic and landscape pattern) components. Such heterogeneity can influence the mode and extent of dispersal of individuals among these subpopulations, which, in turn, may regulate their spatiotemporal dynamics. We have modelled a homogeneous metapopulation of the interacting host and parasite system, with closed boundary and dispersal limited to nearest neighbours, using the spatially explicit coupled map lattice approach. We have studied the role of heterogeneity in terms of landscape fragmentation and demographic heterogeneity on the spatiotemporal dynamics. The homogeneous metapopulation shows spatiotemporally synchronous dynamics in the long-term, which is independent of the exact forms of the dispersal function considered commonly. The primary role of both types of heterogeneity is to resist evolution of spatiotemporal synchrony in the lattice, and the dynamics in the metapopulation remains asynchronous for a very long time. Spatiotemporal synchrony in species population may be detrimental to persistence and is a potential problem for conservation biologists. Thus, evolution and maintenance of ecological and demographic diversity in nature seem to aid in species persistence at a metapopulation level. textcopyright 2004 Elsevier B.V. All rights reserved.},
keywords = {Asynchrony, Coupled map lattice, Demographic heterogeneity, Dispersal, Landscape fragmentation},
pubstate = {published},
tppubtype = {article}
}

@article{Gade1995,
title = {Coupled maps on trees},
author = {P M Gade, H Cerdeira and R Ramaswamy
},
url = {https://link.aps.org/doi/10.1103/PhysRevE.52.2478},
doi = {10.1103/PhysRevE.52.2478},
year = {1995},
date = {1995-09-01},
journal = {Physical Review E},
volume = {52},
number = {3},
pages = {2478–2485},
abstract = {We study coupled maps on a Cayley tree, with local (nearest-neighbor) interactions, and with a variety of boundary conditions. The homogeneous state (where every lattice site has the same value) and the node-synchronized state (where sites of a given generation have the same value) are both shown to occur for particular values of the parameters and coupling constants. We study the stability of these states and their domains of attraction. Since the number of sites that become synchronized is much higher compared to that on a regular lattice, control is easier to achieve. A general procedure is given to deduce the eigenvalue spectrum for these states. Perturbations of the synchronized state lead to different spatiotemporal structures. We find that a mean-field-like treatment is valid on this (effectively infinite dimensional) lattice.},
keywords = {Coupled map lattice, Coupled maps},
pubstate = {published},
tppubtype = {article}
}