Dengue forever

Almanza-Vasquez, Edilber; Ortiz-Ortiz, Ruben-Dario; Marin-Ramirez, Ana-Magnolia

doi:10.12988/ijma.2014.410297

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2020

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“…Traditional predator -prey systems are autonomous, including some constant coefficients (parameters), which have biological meaning (see e.g. Almanza-Vasquez & Ortiz-Ortiz [4], Hsu & Huang [21], Leslie & Gower [26], Tanner [35], Zhao [44]). It is reasonable enough to suggest that these coefficients may be replaced by periodic functions of the same period ω > 0, and to look for positive ω-periodic solutions.…”

Section: Introductionmentioning

confidence: 99%

Positive periodic solutions for periodic predator-prey systems of Leslie-Gower or Holling-Tanner type

Tsvetkov,

Angelova-Slavova

2020

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In this paper, we consider periodic predator -prey systems of Leslie -Gower or Holling -Tanner type, assuming that the coefficients are continuous positive ω-periodic functions. We prove an existence of positive ωperiodic solutions by means of operator method in Banach spaces with cones. No constructive conditions are required for the coefficients, besides the positivity and periodicity. At the end we point out that the used approach can be applied with minor changes for proving the existence of positive ω-periodic solutions even in the case of certain delays.

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