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Characterization of resilience in Aedes aegypti mosquito networks

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  • Macias Torres, M.
  • Naranjo Mayorga, F.

Abstract

In this work, the resilience study of the Aedes aegypti mosquito network built in urban areas of Colombia is presented. We define the network based on the Skeeter-Buster model, where each node is represented by a mosquito habitat in each zone. The state that defines the population of each node depends on the gonotrophic cycle of the species and the environmental conditions. Interactions between nodes are defined by the probability that mosquitoes migrate from one node to another (Pdij). The topology of the network is evaluated and the dynamic equation of the system is defined, through which the universal resilience function is obtained in the A. aegypti mosquito network. We found that the more heterogeneous networks are more likely to be resilient, so a strategy could be sought to manipulate this property in A. aegypti networks. The phase transitions have been located for each constructed network and the fixed points in the phase space were characterized. One of the most important contributions is the migration probability of the vector Pdij, which offers a good approximation to the migratory behavior of the vector as a function of the mean flight distance and the distance between habitats. Finally, it is observed in the dynamics of the network that the population growth presents different values of effective mean degree (βeff), with values between 1.6 and 5.57, highlighting the case of Villavicencio with a value of 1.6309.

Suggested Citation

  • Macias Torres, M. & Naranjo Mayorga, F., 2022. "Characterization of resilience in Aedes aegypti mosquito networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
  • Handle: RePEc:eee:phsmap:v:596:y:2022:i:c:s037843712200142x
    DOI: 10.1016/j.physa.2022.127114
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    References listed on IDEAS

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    1. Krisztian Magori & Mathieu Legros & Molly E Puente & Dana A Focks & Thomas W Scott & Alun L Lloyd & Fred Gould, 2009. "Skeeter Buster: A Stochastic, Spatially Explicit Modeling Tool for Studying Aedes aegypti Population Replacement and Population Suppression Strategies," PLOS Neglected Tropical Diseases, Public Library of Science, vol. 3(9), pages 1-18, September.
    2. Jianxi Gao & Baruch Barzel & Albert-László Barabási, 2016. "Erratum: Universal resilience patterns in complex networks," Nature, Nature, vol. 536(7615), pages 238-238, August.
    3. Jianxi Gao & Baruch Barzel & Albert-László Barabási, 2016. "Universal resilience patterns in complex networks," Nature, Nature, vol. 530(7590), pages 307-312, February.
    4. Fath, Brian D. & Scharler, Ursula M. & Ulanowicz, Robert E. & Hannon, Bruce, 2007. "Ecological network analysis: network construction," Ecological Modelling, Elsevier, vol. 208(1), pages 49-55.
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