Emmanuel Kwame Essel’s scientific contributions

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Figure 1 Sign Analysis for System x ′ = y 2 (1 − x) − 0.25x, y ′ = x 2 (1 − y) − 0.3y 
Figure 2 Phase Portrait and Zero-Isoclines for System x ′ = y 2 (1 − x) − 0.25x, y ′ = x 2 (1 − y) − 0.3y 
Figure 3 Sign Analysis for System x ′ = y 2 (1 − x) − 0.25x, y ′ = x 2 (1 − y) − 0.15y 
Figure 4 Phase Portrait and Zero-Isoclines for System x ′ = y 2 (1 − x) − 0.1x, y ′ = x 2 (1 − y) − 0.4y 
Figure 5 Sign Analysis for System x ′ = y 2 (1 − x) − 0.25x, y ′ = x 2 (1 − y) − 0.25y 

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On Behaviour of a Host-vector Epidemic Model with Non-linear Incidence
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Bismark Akoto

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Emmanuel Kwame Essel

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In this paper we find the possible phase portraits and bifurcations for a general class of host-vector epidemic models with non-linear incidence function generalizing the Ross model.

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