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Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. ... In spatially extended predator-prey systems, one observes noise-stabilized activity and persistent correlations. ... In this review, we chiefly focus our attention on the population dynamics of spatially extended systems. ...doi:10.1088/1751-8121/aa95c7 fatcat:6dkfpf5iq5cwvjhbrap5bquw44
Population dynamics within host-parasite systems in insects is governed by a series of factors, both endogenous and exogenous. ... A brief analysis of the respective influences of each of these five driving parameters on the main features of host-parasite dynamics is derived accordingly, based upon this extended model. ... Typical display of three equilibrium phases -S 1 , Os, S 2 -in the interactive dynamics of the host-parasite system. ...doi:10.9734/arrb/2020/v35i830256 fatcat:5lywawqmzjakvicb2jpwalggke
In this paper, we have studied and analyzed the stability of modified and extended logistic map for describing the dynamics of multi-scaled population (sexual reproduction) in superior orbit. ... Rani first time studied superior iterates (i.e. superior orbit) in discrete dynamics and proves that it increases the solution domain of dynamical system. ... In this paper, we have implemented a dynamics of system for multi-scaled population in superior orbit i.e. two-step iteration method to increase the convergence range. ...doi:10.1016/j.procs.2015.07.397 fatcat:g4i6ndne5jhyznje6qzx3taml4
Historical reconstructions of island state populations show a variety of transient dynamics that closely corresponds to model expectations based on island differences in productivity and harvesting regime ... We conclude that vulnerable social-ecological systems may persist when the population:resource ratio remains within a viable range of intermediate (rather than small) values, which implies that averting ... The research of K.S. was supported by the EU Horizon 2020 project MERCES (689518), the National Key R&D Program of China (2017YFC0506001) and the National Natural Science Foundation of China (41676084) ...doi:10.1038/s43247-021-00112-y fatcat:sk46z6qwjnhkxgvdu7sp743bzi
We consider a water distribution system as an example of resource allocation, and investigate the use of a population game for its control. ... We use a game-theoretic approach based on two evolutionary dynamics, the Brown-von Neumann-Nash and the Smith dynamics. ... Then, as in (23), we construct the extended game dynamic from the WDS and the extended evolutionary dynamic as Extended Game 1 Dynamic : ⎧ ⎨ ⎩ ẋ 1i = Q( x 2i +x * 2i )−c i x 1i + x * 1 u 1i = ẋ 2i = u ...doi:10.1080/00207179.2016.1231422 fatcat:75sfan7ubrcx3kmp35bjmbskxe
The experimental result is discussed in terms of convergence point and chaotic range of the given dynamical systems. ... The purpose of this paper is to explore the behavior of a multi-scale population model, i.e. modified logistic map (Mod-LM) and chosen population proportion model, i.e. extended logistic map (Ex-LM) in ... The system dynamic has extended as β and γ decrease for the same m value. See Table 4. 4. ...doi:10.5815/ijitcs.2020.04.02 fatcat:gpkninzfefhzheu4fbkmj4av4i
Conversely, the populations forming dynamically changing spatial clusters behave in a different way than the logistic model and reproduce at least the steady-state fragment of the logistic map. ... We found the class of "atomistic" rules for which uncorrelated spatially extended population matches the logistic map both for pre-chaotic and chaotic modes. ... Acknowledgements This research is financed by the Polish Ministry of Education and Science, Project No.3 T11F 010 30. ...doi:10.2478/s11534-009-0089-6 fatcat:kkjltoxc7bf7ve5gte3ta7uohm
The Journal of Animal Ecology
In a series of developments, these ideas were extended to illustrate how demographic stochasticity (associated with births and deaths only) can affect colonization in island mainland models of species ... More recently, the effects of spatial structure on predator-prey interactions have been extended to assess whether metapopulation processes (local breeding populations, risk of extinction, probability ...
The study of the collective dynamics of a noncompletely synchronized extended system started with the work of Kuramoto, 1 who showed that a large set of sinusoidally coupled phase oscillators could display ... We find that low dimensional and yet complex dynamics can be found in the average activity of the array, in a regime presenting a time dependent degree of synchrony. ... In Fig. 5 , we show two period 3 solutions of Eq. (14), and its comparison to the extended system of Eq. (2). ...doi:10.1063/1.3574030 pmid:21721744 pmcid:PMC3085534 fatcat:hajhiqpf4fcj7mtm4bxrgdzey4
Using the spatially extended counterpart of these discrete systems by means of the Coupled Map Lattice formalism, we show that space is able to induce dynamical bifurcations. 3. ... . & May, R.M. (1992) The spatial dynamics of host-parasitoid systems. Journal of Animal Ecology, 61, 735-748. Czaran, T. & Bartha, S. (1992). ... role of space in the dynamics, stability and persistence of populations. ...doi:10.2307/5544 fatcat:e7cykv4fb5e5ba5s6m6wovxybm
Journal of Ecology
recolonization; regional ensembles, systems of essentially unconnected local populations persisting in an ill-defined mosaic of suitable and unsuitable habitat; and spatially extended populations, essentially ... to patch dynamics within local populations ('metapatch' systems). ... Acknowledgements We should like to thank Jonathan Silvertown, James Bullock and Susan Harrison for their comments on an earlier draft of this paper. ...doi:10.1046/j.1365-2745.2002.00692.x fatcat:cvyardpzdjds7mw4liyznizv2y
The Journal of Animal Ecology
In uncoupled populations, the dynamics of these systems relate to the way the parasitoids induce delays in the regulation of the host. ... In order to discuss the patterns of synchrony in spa- tially extended trophic systems, we first briefly outline our prototypical model and its dynamics. ...
In simulations for model systems with typical molecular parameters, dipole mediated tunnelling is found to be a highly efficient strong-field mechanism of population transfer with remarkable robustness ... asymmetric dipolar 3-level lambda-(K-) or N-level extended K-systems. ... Acknowledgment This research was supported by the Austrian Science Fund FWF within the framework of the Special Research Program F016 ''ADLIS''. ...doi:10.1016/j.chemphys.2007.03.017 fatcat:7bxodyn73fbxpmid4mcney4zkm
The Journal of Animal Ecology
system, and Hastings (2001) suggested that understanding the dynamics of transients can play a key role in under- standing the structure of natural systems. ... Journal of Animal Ecology (2003) 72, 460—467 Introduction The synchrony and spatial correlation of population dynamics has been widely debated since Elton’s study on population cycles in the Canadian lynx ...
Physics Letters A
Here we investigate how often transient dynamics can be expected in spatially extended ecological systems. ... A traditional assumption in quantitative ecology is that the asymptotic state of the model determines what can be observed in the evolution of the system. ... Eqs. (1)-(3) represent a spatially extended dynamical system that is discrete in time and continuous in space. ...doi:10.1016/s0375-9601(01)00069-x fatcat:vnvkws7zwndjbnqbtfwydooyoa
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