Abstract：
:In the present paper, we propose and analyze an eco-epidemiological model with diffusion to study the dynamics of rabbit populations which are consumed by lynx populations. Existence, boundedness, stability and bifurcation analyses of solutions for the proposed rabbit-lynx model are performed. Results show that in the presence of diffusion the model has the potential of exhibiting Turing instability. Numerical results (finite difference and finite element methods) reveal the existence of the wave of chaos and this appears to be a dominant mode of disease dispersal. We also show the mechanism of spatiotemporal pattern formation resulting from the Hopf bifurcation analysis, which can be a potential candidate for understanding the complex spatiotemporal dynamics of eco-epidemiological systems. Implications of the asymptotic transmission rate on disease eradication among rabbit population which in turn enhances the survival of Iberian lynx are discussed.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Upadhyay RK,Roy P,Venkataraman C,Madzvamuse Adoi
10.1016/j.mbs.2016.08.014subject
Has Abstractpub_date
2016-11-01 00:00:00pages
98-119eissn
0025-5564issn
1879-3134pii
S0025-5564(16)30143-2journal_volume
281pub_type
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