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Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects (2020)
Journal Article
Fadai, N. T., & Simpson, M. J. (2020). Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects. Bulletin of Mathematical Biology, 82(6), https://doi.org/10.1007/s11538-020-00756-5

The Allee effect describes populations that deviate from logistic growth models and arises in applications including ecology and cell biology. A common justification for incorporating Allee effects into population models is that the population in que... Read More about Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects.

New travelling wave solutions of the Porous–Fisher model with a moving boundary (2020)
Journal Article
Fadai, N. T., & Simpson, M. J. (2020). New travelling wave solutions of the Porous–Fisher model with a moving boundary. Journal of Physics A: Mathematical and Theoretical, 53(9), Article 095601. https://doi.org/10.1088/1751-8121/ab6d3c

We examine travelling wave solutions of the Porous-Fisher model, ϑtu(x,t) = u(x,t)[1 u(x,t)] + ϑx [u(x,t)ϑxu(x,t)], with a Stefan-like condition at the moving front, x = L(t). Travelling wave solutions of this model have several novel characteristics... Read More about New travelling wave solutions of the Porous–Fisher model with a moving boundary.