Population dynamics and wave propagation in a Lotka-Volterra system with spatial diffusion

2012 ◽  
Vol 86 (5) ◽  
Author(s):  
Mao-Xiang Wang ◽  
Pik-Yin Lai
2005 ◽  
Vol 10 (4) ◽  
pp. 365-381 ◽  
Author(s):  
Š. Repšys ◽  
V. Skakauskas

We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.


Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1984
Author(s):  
Roman Cherniha ◽  
Vasyl’ Davydovych

The diffusive Lotka–Volterra system arising in an enormous number of mathematical models in biology, physics, ecology, chemistry and society is under study. New Q-conditional (nonclassical) symmetries are derived and applied to search for exact solutions in an explicit form. A family of exact solutions is examined in detail in order to provide an application for describing the competition of two species in population dynamics. The results obtained are compared with those published earlier as well.


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